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. after what time should the shell be fired such that it will go vertically up? A. `(u cos theta)/(g sin beta)`B. `(u sin (theta+beta))/(g cos theta sin beta)`C. `(u cos (theta+beta))/(g cos beta)`D. `(u cos (theta+beta))/(g sin beta cos beta)`

Answer» Correct Answer - D
`V_(x)=U_(x),((a_(x))cos beta)t= U cos (theta+beta)`
`g sin beta cos betat=U cos (theta+beta),t=(U cos (theta+beta))/(g sin beta cos beta)`


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