On  a frictionless horizontal surface , assumed to be the ` x-y` plane , a small trolley `A` is
Channel: Doubtnut
Date: 2020-07-05

On  a frictionless horizontal surface , assumed to be the ` x-y` plane , a small trolley `A` is moving along a  straight line parallel to the `y-axis `( see figure) with a constant velocity of `(sqrt(3)-1) m//s ` . At a particular instant , when the line  `OA` makes an angle of `45(@)` with the `x - axis ` , a ball is thrown along the surface from the origin  `O`. Its velocity makes an angle `phi` with the `x -axis and it hits the trolley  (a) The motion of the ball is observed from the frame of the trolley . Calculate the angle `theta` made by the velocity vector of the ball with the ` x-axis in this frame .