A particle starts motion from rest and moves along a straight line. Its acceleration-time graph is shown. Find out speed of particle at `t=2s` and at `t=3s`.

Answer

`1.5 m//s, 1 m//s`

Explanation

(i) Area under a-t curve the change in velocity
`Deltau=1xx1+1/2xx1xx1, u_(2)-u_(0)=1.5 m//s`
`u_(2)=1.5 m//s ( :' u_(0)=0)`
Upto 3 sec : `Deltau=1.5-1/2xx1xx1=1 m//s`
`u_(3)-u_(0)=1m//srArr u_(3)=1m//s ( :' u_(0)=0)`