A cannon of mass `5m` (including a shell of mass m) is at rest on a smooth horizontal ground, fires the shell with its barrel at an angle `theta` with the horizontal at a velocity u relative to cannon. Find the horizontal distance of the point where shell strikes the ground from the initial position of the cannon :-

Options

A. `(2v_(1)^(2)v_(2))/(g)`
B. `(2v_(1)v_(2)^(2))/(g)`
C. `(2v_(1)v_(2))/(g)`
D. `(2v_(1)^(2)v_(2)^(2))/(g)`

Answer

C

Explanation

For vertical motion, time of glight `t=(2v_(1))/(g)`
for horizontal motion `R=v_(1)xxt=(2v_(1)V_(2))/(g)`
for horizontal motion `R=v_(1)xxt=(2v_(1)v_(2))/(g)`