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

1 Answer
May 2, 2018

Answer:

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=s/t#, 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.