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Why Knock Someone Prone Anymore?
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<blockquote data-quote="Lord Sessadore" data-source="post: 4314009" data-attributes="member: 57255"><p>Oh, to heck with it. I'm bored, so I did the calculus. Now hopefully I did it right <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue :p" data-smilie="7"data-shortname=":p" /> If anyone's interested I can provide my calculations, especially if you think I've made an error. It's entirely possible, as I haven't really done anything with calculus in a couple years. </p><p></p><p>So, I ended up with the position function:</p><p>P(t) = (-4.9/3) t^3 + C, where C is your starting height. Basically, (4.9/3)t^3 is how far you've fallen in t seconds (measured in meters). </p><p></p><p>Plugging in 6 for t, you get P(6) = 352.8 m = 1147.5 ft. </p><p></p><p>So, I guess my first post was wrong - you fall a <em>lot</em> farther than 500 feet in 6 seconds. Again, assuming your fall isn't slowed by air resistance, and that you don't hit terminal velocity in less than 6 seconds. Gravity's powerful, man!</p><p></p><p>Note: this is also assuming your world has normal earth gravity <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":p" title="Stick out tongue :p" data-smilie="7"data-shortname=":p" /> I believe hong would classify that as thinking too hard about fantasy though <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink ;)" data-smilie="2"data-shortname=";)" /></p><p></p><p><span style="color: DarkOrange"><strong>EDIT:</strong>I messed up on these calculations, started with acceleration = 9.8t instead of just 9.8. Surgoshan has the correct calculations a few posts down. Sorry folks. The good news is, the correct calculations show you fall farther than 500 feet in 6 seconds <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink ;)" data-smilie="2"data-shortname=";)" /></span></p></blockquote><p></p>
[QUOTE="Lord Sessadore, post: 4314009, member: 57255"] Oh, to heck with it. I'm bored, so I did the calculus. Now hopefully I did it right :p If anyone's interested I can provide my calculations, especially if you think I've made an error. It's entirely possible, as I haven't really done anything with calculus in a couple years. So, I ended up with the position function: P(t) = (-4.9/3) t^3 + C, where C is your starting height. Basically, (4.9/3)t^3 is how far you've fallen in t seconds (measured in meters). Plugging in 6 for t, you get P(6) = 352.8 m = 1147.5 ft. So, I guess my first post was wrong - you fall a [i]lot[/i] farther than 500 feet in 6 seconds. Again, assuming your fall isn't slowed by air resistance, and that you don't hit terminal velocity in less than 6 seconds. Gravity's powerful, man! Note: this is also assuming your world has normal earth gravity :p I believe hong would classify that as thinking too hard about fantasy though ;) [COLOR=DarkOrange][B]EDIT:[/B]I messed up on these calculations, started with acceleration = 9.8t instead of just 9.8. Surgoshan has the correct calculations a few posts down. Sorry folks. The good news is, the correct calculations show you fall farther than 500 feet in 6 seconds ;)[/COLOR] [/QUOTE]
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