Question

What is the average speed of an object that is still at `t=0` and accelerates at a rate of `a(t) =t^2-1` from `t in [2, 3]`?

Answer 1

`v_{avg}=16/3ms^-1`

Explanation:

The average of a function can be found by integrating the function over the integral.

So, `v_{avg}=int_2^3a(t)dt=int_2^3(t^2-1)dt=(t^3/3-t)|_2^3`

Placing the limits, you'll be able to solve and see the answer.