# Thread: Finding the average velocity

1. ## Finding the average velocity

Describe the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t).

I'm having trouble understand thing problem.

2. Originally Posted by iyppxstahh
Describe the difference in finding the average velocity over an interval given the position function, s(t), and the velocity function, v(t).

I'm having trouble understand thing problem.
I think it's like this:

Let a = initial time, b = final time

average velocity is V = (1/(b-a))*Integral(v(t)dt)

where the limits of the integral are a to b.

When you're given s(t), your job is made easier because the above equation turns into

V = (1/(b-a))*Integral((ds/dt)dt) = (1/(b-a))(s(b)-s(a))

I hope everything is clear.. I've been finding LaTeX a little cumbersome lately so I sometimes use it, sometimes not.

Someone please correct me if this is wrong as I have not worked with these for a while.

3. Hmm....I'll have to look closer into it. Thanks again!