A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation…

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $$\mathrm{F}=\mathrm{F}_0\left[1-\left(\frac{t-\mathrm{T}}{\mathrm{~T}}\right)^2\right] $$ Where $\displaystyle \mathrm{F}_0$ and T are constants. The force acts only for the time interval 2T. The velocity $\displaystyle v$ of the particle after time 2T is :