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 [1- (\frac{t-T}{T}) ^2] Where F_0 and T are constants. The force acts only for the time interval 2 {\T}. The velocityv of the particle after time 2 {\T} is:

VITEEE 2022 Paper

Section: Physics

Question : 21 of 125

Marks: +1, -0

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=F0[1−(‌

t−T

)2]
Where F0 and T are constants. The force acts only for the time interval 2T. The velocityv of the particle after time 2T is:

2F0T∕M
F0T∕2M
4F0T∕3M
F0T∕3M

Validate

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