A shell is projected from a gun with muzzle velocity u. The gun is fitted with a trolley car at an angle θ as shown in the fig. If the trolley car is made to move with constant velocity v towards right, find the
(i) horizontal range of the shell relative to ground.
(ii) horizontal range of the shell relative to a person travelling with trolley.
A child is standing at one end of a long trolley moving with a speed v on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed u, the centre of mass of the system (trolley + child) will move with a speed.