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 cannon is fixed with a smooth massive trolley car at an angle theta

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?
Answer» `(u cos theta)/(G SIN BETA)` `(u sin (theta+beta))/(g cos theta sin beta)` `(u cos (theta+beta))/(g cos beta)` `(u cos (theta+beta))/(g sin beta cos beta)` SOLUTION :`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)`