Instantaneous speed?

Question

is there an equation to find the instantaneous speed of an object?

I'm trying to find the instantaneous spped of a falling object which was dropped after restingg

Answer 1

Yeah, sure.  If you have constant acceleration (like a falling object) and a period of time which it has fallen, the equation is simply:

velocity = acceleration * time + initial velocity

Here initial velocity is the velocity it had before it started accelerating and is zero if the item was initially at rest.

If the object has variable acceleration then the equation is an integral:

velocity = integral[ a(t) dt, from t=T1 to t=T2]

here, a(t) is the acceleration as a function of time, T1 is the start time, T2 is the stop time.

Answer 2

meters per second and then transfer that to mph if you want