1.

A cannon is fixed with a smooth massive trolley car at an angle `theta` as shown in the figure.The trolley car slides from rest down the inclined plane of angle of inclination `beta`. The muzzle velocity of the shell fired at `t=y_(0)` from the cannon is `u`,such that the shell moves perpendicular to the inclined just after the firing. The value of `t_(0)` is: A. `(u cos theta)/g`B. `(u cos theta)/(g cos theta)`C. `(u cos theta)/(g sin beta)`D. `(u sin theta)/(g cos theta)`

Answer» Correct Answer - C
Velocity along tralley is zero i.e., `V_(x)=U_(x)+a_(x)t`
`0=U cos theta-(g sin beta)t, t=(U cos theta)/(g sin beta)`


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