Question

What is the average speed of an object that is not moving at `t=0` and accelerates at a rate of `a(t) =t+2` from `t in [0, 1]`?

Answer 1

`v_a=2,5 m/s`

Explanation:

`v_a=int _0^1 (t+2)*d t`
`v_a=[t^2/2+2t]_0^1 +C`
`v_a=[1/2+2*1]-[0]+C`
`v_a=5/2+C`
`"if t=0 then v=0 ;C=0"`
`v_a=5/2+0`
`v_a=2,5 m/s`