An impulse `vec(I)` changes the velocity of a particle from `vec(v)_(1)` to `vec(v)_(2)`. Kinetic energy gained by the particle is :-

Options

A. `I (v_(1)+v_(2))`
B. `I(v_(1)+v_(2))//2`
C. `I(v_(1)-v_(2))`
D. `I(v_(1)-v_(2))//2`

Answer

B

Explanation

`DeltaKE =(1)/(2) m(v_(2)^(2)-v_(1)^(2)),J =Deltap =m(v-u)` .