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-t+1` from `t in [2, 3]`?

Answer 1

`v_a=5-3=2`

Explanation:

`(d[a(t)])/(d t)=v_a`
`v_a=int_2^3(t^2-t+1)*d t`
`v_a=|2t-1|_2^3+C`
`if t=0 ; then C=0`
`v_a=(2*3-1)-(2*2-1)`
`v_a=5-3=2`