A body is acted on by a force given by `F=(15+3t^(2))N`. The impulse received by the body during the first 2 seconds is

Options

A. 28 Ns
B. 38 Ns
C. 30 Ns
D. 19 Ns

Answer

B

Explanation

Given,
`Force, `" "F=(15+3t^(2))N`
`therefore` Impulse, `I=int_(0)^(t)F*dt=int_(0)^(t)(15+3t^(2))dt`
For, t = 2s
`I=[15t+3 times t^(3)/3]_(0)^(2)`
`I=15 times 2+(2)^(3)=30+8=38Ns`