A particle of mass `2kg` is initially at rest. A force starts acting on it in one direction whose magnitude changes with time. The force time graph is shown in figure. Find the velocity of the particle at the end of `10s`.

Options

A. `20 m//s`
B. `10 m//s`
C. `75 m//s`
D. `50 m//s`

Answer

D

Explanation

Area of `F - t` graph gives change in linear momentum
`t = 0` to `t = 10` , area of F -t graph `= 100`
`Delta p = 100`
`m(v - 0) = 100 rArr 2v = 100 rArr v = 50 m//s`