A particle of mass M orginally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation
F = F₀[1 − (t − T/T)²]
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 :

A. 2F₀T/M
B. F₀T/2M
C. 4F₀T/3M
D. F₀T/3M