How do I find velocity and acceleration as functions of t?

1 Answer
KillerBunny
May 2, 2018

See below.

Explanation:

It depends on the nature of the motion you're studying. For example, if a body moves with constant velocity, you will have v=st, and a=0.
On the other hand, if a body moves with constant acceleration, you will have v=at and a=k (some constant).

In general, the only thing you can say is that, if you know the function s(t) that gives the position s at every time t, you will have that the velocity is the first derivative of s, and the acceleration the second derivative.

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