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 m/s . At a particular instant, when the line OA makes an angle of 45 degree 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 anglethetamade by the velocity vector of the ball with the x-axis in this frame . (b) Find the speed of the ball with respect to the surface , if phi = 4 theta / 3
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