https://wiki.eveuniversity.org/index.php?title=Acceleration&feed=atom&action=history
Acceleration - Revision history
2024-03-29T14:57:31Z
Revision history for this page on the wiki
MediaWiki 1.33.1
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=188388&oldid=prev
Kraiklyn Vuld at 13:22, 20 June 2022
2022-06-20T13:22:54Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 13:22, 20 June 2022</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l44" >Line 44:</td>
<td colspan="2" class="diff-lineno">Line 44:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><dd>Ship's mass in kg</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><dd>Ship's mass in kg</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><dt>''e''</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><dt>''e''</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><dd><del class="diffchange diffchange-inline">Base of natural logarithms</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><dd><ins class="diffchange diffchange-inline">[https://en.wikipedia.org/wiki/E_(mathematical_constant) Euler's Number] ≈ 2.71828</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></dl> </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></dl> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
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Kraiklyn Vuld
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=178899&oldid=prev
Evon R'al: /* Example */ Add ^ to indicate that its is 10 to the power. E.g. not 109 but 10 to the power 9 = 1 000 000 000
2021-12-09T14:32:59Z
<p><span dir="auto"><span class="autocomment">Example: </span> Add ^ to indicate that its is 10 to the power. E.g. not 109 but 10 to the power 9 = 1 000 000 000</span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 14:32, 9 December 2021</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l65" >Line 65:</td>
<td colspan="2" class="diff-lineno">Line 65:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Pete has just got himself a new freighter, a {{sh|Charon}}. The Charon has a mass of 1,200,000,000 kg and an inertia modifier of 0.02176875 (after adjustment for skills). Pete wants to know how long it takes for his ship to reach the speed needed to enter warp. Since this is 75% of the ship's top speed regardless of what that top speed actually is, he doesn't bother calculating it, but instead simplifies by substituting 0.75 and 1 for ''V'' and ''V<sub>max</sub>'' respectively.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Pete has just got himself a new freighter, a {{sh|Charon}}. The Charon has a mass of 1,200,000,000 kg and an inertia modifier of 0.02176875 (after adjustment for skills). Pete wants to know how long it takes for his ship to reach the speed needed to enter warp. Since this is 75% of the ship's top speed regardless of what that top speed actually is, he doesn't bother calculating it, but instead simplifies by substituting 0.75 and 1 for ''V'' and ''V<sub>max</sub>'' respectively.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Time to Warp = 0.02176875 × 1.2 × <del class="diffchange diffchange-inline">109 </del>× 10-6 × -ln (1 - 0.75 / 1)</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Time to Warp = 0.02176875 × 1.2 × <ins class="diffchange diffchange-inline">10^9 </ins>× 10<ins class="diffchange diffchange-inline">^</ins>-6 × -ln (1 - 0.75 / 1)</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> = 0.02176875 × 1.2 × <del class="diffchange diffchange-inline">103 </del>× -ln (1 - 0.75)</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> = 0.02176875 × 1.2 × <ins class="diffchange diffchange-inline">10^3 </ins>× -ln (1 - 0.75)</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 0.02176875 × 1200 × -ln 0.25</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 0.02176875 × 1200 × -ln 0.25</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 26.1225 × 1.38629436</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 26.1225 × 1.38629436</div></td></tr>
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Evon R'al
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=150321&oldid=prev
Hirmuolio Pine: indent math
2020-01-18T11:39:30Z
<p>indent math</p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 11:39, 18 January 2020</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Line 28:</td>
<td colspan="2" class="diff-lineno">Line 28:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>V_{\rm{t}} = V_{\rm{max}} \times \left( 1 - e^{ \Large\frac{-t\times10^6}{I\times M} } \right)</math></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:</ins><math>V_{\rm{t}} = V_{\rm{max}} \times \left( 1 - e^{ \Large\frac{-t\times10^6}{I\times M} } \right)</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>where:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>where:</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l57" >Line 57:</td>
<td colspan="2" class="diff-lineno">Line 57:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Rearranging the formula for t we arrive at the formula for time taken to accelerate from zero to V:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Rearranging the formula for t we arrive at the formula for time taken to accelerate from zero to V:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math>\displaystyle t_<del class="diffchange diffchange-inline">{\rm</del>{V<del class="diffchange diffchange-inline">}</del>} = -I \times M \times 10^{-6} \times \ln\left( 1 - \frac{V}{V_{\rm{max}} } \right)</math></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:</ins><math>\displaystyle t_{V} = -I \times M \times 10^{-6} \times \ln\left( 1 - \frac{V}{V_{\rm{max}} } \right)</math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where ''t<sub>V</sub>'' is the time to accelerate to velocity ''V'' in seconds. Note that at ''V'' = ''V<sub>max</sub>'', 1 - ''V'' / ''V<sub>max</sub>'' = 0, but ln 0 is undefined, so in theory it takes infinite time to reach maximum speed (technically, the limit of ''t<sub>V</sub>'' as ''V'' approaches ''V<sub>max</sub>'' is positive infinity). In practice the game simulation is not perfectly accurate and it actually takes finite time to reach maximum speed to within whatever precision the simulation uses. (Strictly speaking, velocity is a vector, so it has both direction and magnitude, but the game is really only concerned with its absolute value (i.e. the magnitude part) more commonly called 'speed'.)</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where ''t<sub>V</sub>'' is the time to accelerate to velocity ''V'' in seconds. Note that at ''V'' = ''V<sub>max</sub>'', 1 - ''V'' / ''V<sub>max</sub>'' = 0, but ln 0 is undefined, so in theory it takes infinite time to reach maximum speed (technically, the limit of ''t<sub>V</sub>'' as ''V'' approaches ''V<sub>max</sub>'' is positive infinity). In practice the game simulation is not perfectly accurate and it actually takes finite time to reach maximum speed to within whatever precision the simulation uses. (Strictly speaking, velocity is a vector, so it has both direction and magnitude, but the game is really only concerned with its absolute value (i.e. the magnitude part) more commonly called 'speed'.)</div></td></tr>
</table>
Hirmuolio Pine
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=150145&oldid=prev
Hirmuolio Pine: /* Explanation */ Replace .png formula with <math>
2020-01-12T11:12:25Z
<p><span dir="auto"><span class="autocomment">Explanation: </span> Replace .png formula with <math></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 11:12, 12 January 2020</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l57" >Line 57:</td>
<td colspan="2" class="diff-lineno">Line 57:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Rearranging the formula for t we arrive at the formula for time taken to accelerate from zero to V:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Rearranging the formula for t we arrive at the formula for time taken to accelerate from zero to V:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">[[Image:Accelformula1.png|center]]</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"><math>\displaystyle t_{\rm{V}} = -I \times M \times 10^{-6} \times \ln\left( 1 - \frac{V}{V_{\rm{max}} } \right)</math></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where ''t<sub>V</sub>'' is the time to accelerate to velocity ''V'' in seconds. Note that at ''V'' = ''V<sub>max</sub>'', 1 - ''V'' / ''V<sub>max</sub>'' = 0, but ln 0 is undefined, so in theory it takes infinite time to reach maximum speed (technically, the limit of ''t<sub>V</sub>'' as ''V'' approaches ''V<sub>max</sub>'' is positive infinity). In practice the game simulation is not perfectly accurate and it actually takes finite time to reach maximum speed to within whatever precision the simulation uses. (Strictly speaking, velocity is a vector, so it has both direction and magnitude, but the game is really only concerned with its absolute value (i.e. the magnitude part) more commonly called 'speed'.)</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Where ''t<sub>V</sub>'' is the time to accelerate to velocity ''V'' in seconds. Note that at ''V'' = ''V<sub>max</sub>'', 1 - ''V'' / ''V<sub>max</sub>'' = 0, but ln 0 is undefined, so in theory it takes infinite time to reach maximum speed (technically, the limit of ''t<sub>V</sub>'' as ''V'' approaches ''V<sub>max</sub>'' is positive infinity). In practice the game simulation is not perfectly accurate and it actually takes finite time to reach maximum speed to within whatever precision the simulation uses. (Strictly speaking, velocity is a vector, so it has both direction and magnitude, but the game is really only concerned with its absolute value (i.e. the magnitude part) more commonly called 'speed'.)</div></td></tr>
</table>
Hirmuolio Pine
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=150143&oldid=prev
Hirmuolio Pine: /* Mathematics and formulae */ replace V_t .png formula with <math>
2020-01-12T11:08:11Z
<p><span dir="auto"><span class="autocomment">Mathematics and formulae: </span> replace V_t .png formula with <math></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 11:08, 12 January 2020</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l28" >Line 28:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">[[Image:Accelformula2.png|center]] </del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"><math>V_{\rm{t}} = V_{\rm{max}} \times \left( 1 - e^{ \Large\frac{-t\times10^6}{I\times M} } \right)</math></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>where:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>where:</div></td></tr>
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Hirmuolio Pine
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=147974&oldid=prev
Arexand Oskold: /* Explanation */ superscripted exponents
2019-11-01T02:15:27Z
<p><span dir="auto"><span class="autocomment">Explanation: </span> superscripted exponents</span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 02:15, 1 November 2019</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The final term (with the exponent) gives the fraction of maximum velocity that is reached after time ''t''. This is multiplied by the maximum velocity to find the absolute velocity at time ''t''. Note that this only depends on time, inertia modifier and mass (''e'' is a constant).</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The final term (with the exponent) gives the fraction of maximum velocity that is reached after time ''t''. This is multiplied by the maximum velocity to find the absolute velocity at time ''t''. Note that this only depends on time, inertia modifier and mass (''e'' is a constant).</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The <del class="diffchange diffchange-inline">106 </del>term cancels out a factor of one million in the mass term. So to simplify you can ignore the <del class="diffchange diffchange-inline">106 </del>and use the mass of the ship in millions of kg instead of kg.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The <ins class="diffchange diffchange-inline">10<sup>6</sup> </ins>term cancels out a factor of one million in the mass term. So to simplify you can ignore the <ins class="diffchange diffchange-inline">10<sup>6</sup> </ins>and use the mass of the ship in millions of kg instead of kg.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for acceleration itself, this is just the first derivative of velocity with respect to time.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>As for acceleration itself, this is just the first derivative of velocity with respect to time.</div></td></tr>
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Arexand Oskold
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=116704&oldid=prev
Djavin novienta: Recategorized.
2017-04-11T06:47:43Z
<p>Recategorized.</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 06:47, 11 April 2017</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 36.2134744 seconds.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 36.2134744 seconds.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category:<del class="diffchange diffchange-inline">Piloting</del>]]</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[Category:<ins class="diffchange diffchange-inline">Game mechanics</ins>]]</div></td></tr>
</table>
Djavin novienta
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=116168&oldid=prev
Abelard Andedare: categorization
2017-04-09T20:46:13Z
<p>categorization</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 20:46, 9 April 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l70" >Line 70:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 26.1225 × 1.38629436</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 26.1225 × 1.38629436</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 36.2134744 seconds.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> = 36.2134744 seconds.</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Piloting]]</ins></div></td></tr>
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Abelard Andedare
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=112642&oldid=prev
Djavin novienta: /* Accelerating to warp */ Revised.
2017-03-13T15:46:37Z
<p><span dir="auto"><span class="autocomment">Accelerating to warp: </span> Revised.</span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 15:46, 13 March 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22" >Line 22:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>To initiate [[Warp|warp travel]], a ship must be aligned to its target and traveling at 75% of its maximum velocity or higher. The "time to warp" from a standstill can be calculated for any ship using the formulas presented here (see the [[#Example|example]] below). The time to warp can change depending on a ship's speed and alignment in relation to its destination at the time the command to initiate warp is issued.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>To initiate [[Warp|warp travel]], a ship must be aligned to its target and traveling at 75% of its maximum velocity or higher. The "time to warp" from a standstill can be calculated for any ship using the formulas presented here (see the [[#Example|example]] below). The time to warp can change depending on a ship's speed and alignment in relation to its destination at the time the command to initiate warp is issued.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>There are two methods by which the time to warp can be greatly reduced below its normal value. The first<del class="diffchange diffchange-inline">, known as the "[[cloak trick]]", utilizes </del>a <del class="diffchange diffchange-inline">combination of a cloaking device and </del>microwarpdrive to <del class="diffchange diffchange-inline">artificially reduce </del>a ship's maximum velocity <del class="diffchange diffchange-inline">while simultaneously increasing </del>its <del class="diffchange diffchange-inline">current </del>velocity in the span of a few seconds. The second <del class="diffchange diffchange-inline">takes advantage of </del>a <del class="diffchange diffchange-inline">peculiar property of </del>[[Tackling#Stasis Webifier|stasis webifiers]] <del class="diffchange diffchange-inline">which increases </del>the <del class="diffchange diffchange-inline">webbed </del>ship<del class="diffchange diffchange-inline">'s agility</del>, decreasing its <del class="diffchange diffchange-inline">time </del>to warp<del class="diffchange diffchange-inline">. This second method requires a companion ship, usually fitted with multiple webifiers</del>.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>There are two methods by which the time to warp can be greatly reduced below its normal value. The first <ins class="diffchange diffchange-inline">involves cycling </ins>a microwarpdrive <ins class="diffchange diffchange-inline">once </ins>to <ins class="diffchange diffchange-inline">quickly increase </ins>a ship's maximum <ins class="diffchange diffchange-inline">and current </ins>velocity<ins class="diffchange diffchange-inline">, then suddenly decrease </ins>its <ins class="diffchange diffchange-inline">maximum </ins>velocity in the span of a few seconds. The second <ins class="diffchange diffchange-inline">uses </ins>a <ins class="diffchange diffchange-inline">companion ship to activate multiple </ins>[[Tackling#Stasis Webifier|stasis webifiers]] <ins class="diffchange diffchange-inline">on </ins>the <ins class="diffchange diffchange-inline">aligning </ins>ship, decreasing its <ins class="diffchange diffchange-inline">maximum velocity while keeping its current velocity the same, allowing it </ins>to <ins class="diffchange diffchange-inline">enter </ins>warp <ins class="diffchange diffchange-inline">more quickly</ins>.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Mathematics and formulae ==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Mathematics and formulae ==</div></td></tr>
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Djavin novienta
https://wiki.eveuniversity.org/index.php?title=Acceleration&diff=112641&oldid=prev
Djavin novienta: /* Mathematics and formulas */
2017-03-13T15:32:50Z
<p><span dir="auto"><span class="autocomment">Mathematics and formulas</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 15:32, 13 March 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l24" >Line 24:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There are two methods by which the time to warp can be greatly reduced below its normal value. The first, known as the "[[cloak trick]]", utilizes a combination of a cloaking device and microwarpdrive to artificially reduce a ship's maximum velocity while simultaneously increasing its current velocity in the span of a few seconds. The second takes advantage of a peculiar property of [[Tackling#Stasis Webifier|stasis webifiers]] which increases the webbed ship's agility, decreasing its time to warp. This second method requires a companion ship, usually fitted with multiple webifiers.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>There are two methods by which the time to warp can be greatly reduced below its normal value. The first, known as the "[[cloak trick]]", utilizes a combination of a cloaking device and microwarpdrive to artificially reduce a ship's maximum velocity while simultaneously increasing its current velocity in the span of a few seconds. The second takes advantage of a peculiar property of [[Tackling#Stasis Webifier|stasis webifiers]] which increases the webbed ship's agility, decreasing its time to warp. This second method requires a companion ship, usually fitted with multiple webifiers.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== Mathematics and <del class="diffchange diffchange-inline">formulas </del>==</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== Mathematics and <ins class="diffchange diffchange-inline">formulae </ins>==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The following formula describes the velocity of a ship accelerating from a standstill after a particular time:</div></td></tr>
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Djavin novienta