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 [0, 2]`?

Answer 1

I found: `v=3m/s`

Explanation:

I would try integrating your acceleration to obtain the speed as:

`v(t)=int_0^2(t/2+1)dt=`

`=1/2t^2/2+t=t^2/4+t`

evaluated between the two extremes:

`v_(0->2)=(4/4+2)-0=1+2=3m/s`