A cannon is fixed with a smooth massive trolley car at an angle `theta` as shown in the figure. The trolley te trolley car slides from rest down the inclined plane of inclimation `beta`.
The muzzle velocity of the shell fired at `t=t_(0)` from the cannon is u, such that the shell moves perpendicu lar to the inclined plane just after the firing.

The difference in range of the shell relative to the trolley car and ground is:

Options

A. `(u^(2)sin 2 theta)/(g cos beta)`
B. `(u^(2)cos^(2)theta)/(2g sin beta)`
C. `u^(2)sin theta sin beta 2g`
D. `(2u^(2)sin theta cos(theta-beta))/(g cos^(2)beta)`

Answer

d