For a particle moving along x-axis, velocity-time graph is as shown in figure. Find the displacement of the particle?

Answer

9

Explanation

`a=(dv)/(dt)=(-1)/(t^(2))impliesunderset(3)overset(v)intdv=-underset(t)overset(4)int(1)/(t^(2))dtimpliesv-3=[(1)/(t)]^(4)=(1)/(4)-1impliesv=3-(3)/(4)=(9)/(4)=2.25m//s`