A particle of mass \(M\) originally at rest is subjected to a force whose direction is constant but magnitude varies wit…

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

\(\mathrm{F}=\mathrm{F}_0\left(1-\left(\frac{\mathrm{t}-\mathrm{T}}{\mathrm{T}}\right)^2\right)\)

Where \(F_0\) and \(T\) are constants. The force acts only for the time internal \(2 T\). The velocity \(v\) of the particle after time \(2 T\) is -