Question

What is the average speed of an object that is moving at `30 m/s` at `t=0` and accelerates at a rate of `a(t) =5-2t^2` on `t in [0,5]`?

Answer 1

`V=-28,3 m/s`

Explanation:

`v=int a *d t`
`v= int_0^5 (5-2t^2)*d t`
`v=[5*t-(2*t^3)/3]_0^5+C`
`v=[5*5-(2*5^3)/3]-[0]+C`
`t=0 ;v=30 ;C=30`
`v=25-250/3+30`
`v=55-250/3`
`v=(165-250)/3`
`V=-28,3 m/s`