Question

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

Answer 1

`v_a=15`

Explanation:

`v_a=int_2^3( t^3-2*t+2)dt`
`v_a=|3t^2-2|_2^3`
`v_a=(3*3^2-2)-(3*2^2-2)`
`v_a=(3*9-2)-(3*4-2)`
`v_a=(27-2)-(12-2)`
`v_a=25-(10)`
`v_a=25-10`
`v_a=15`