A smooth sphere of mass m is moving on a horizontal plane with a velocity `3hat(i) + hat(j)` when t collides with a vertical wall which is parallel to the vector `hat(j)`. If the coefficiet of restitution between the sphere and the wall is 1/4
The impulse `hat(j)` that acts on the sphere is

Options

A. `(9m)/(2) hat(i)`
B. `(3m)/(2) hat(i)`
C. `-(3m)/(2) hat(i)`
D. `-(9m)/(2) hat(i)`

Answer

D