![]() ![]() Next, we’ll integrate velocity with respect to time to find position. ![]() We know that at t = 0 our velocity should be equal to our initial velocity which we will define as v0. Therefore, all we must do is integrate gravity with respect to time twice to give us an equation for position.ĭue to the rules of indefinite integration we are left with an unknown constant, C, but using some intuition we can figure this out easily enough. In our case we know that the only acceleration affecting our objects is gravity. Thus, the reverse is also true, the integral of acceleration with respect to time is velocity and the integral of velocity with respect to time is position. We know that the derivative of position with respect to time is velocity and that the derivative of velocity with respect to time is acceleration. Using basic knowledge of physics and simple calculus we can derive the basic equation of motion that a projectile will take. ![]() Since this is such a popular question I thought it would be worth writing a blog post on it and talking about a few other things we can extend from our findings. Most people want to know how to do this for things like basketballs or cannon balls and so forth. The original can be found here.Īs a somewhat active member of the Scripting Helpers discord one of the most common questions I see is how to have a projectile travel an arc. This guide was originally written for scriptinghelpers. ![]()
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