Displacement of a particle of mass 2 kg moving in a straight line varies with time as
`s = (2t^(3) + 2)` m
Impulse of the force acting on the particle over a time interval between t = 0 and t = 1 s is

Options

A. `10N - s`
B. `12 N - s`
C. `8 N - s`
D. `6 N - s`

Answer

B

Explanation

`S = 2t^3 + 2 , " " V = (ds)/(dt) = 6t^2`
`implies a = (dV)/(dt) = 12t implies F = ma = 24 t, " " I = int Fdt = int_(0)^1 24t dt = [12 t^2]_(0)^(1) = 12 N - s` .