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
\(F=F_0\left[1-\left(\frac{t-T}{T}\right)^2 \right]\)
Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :
(1) \(2F_0T/M\)
(2) \(F_0T/2M\)
(3) \(4F_0T/3M\)
(4) \(F_0T/3M\)