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 ( 
–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 
with the x-axis and it hits the trolley.
made by the velocity vector of the ball with the x-axis in this frame.
= 4 
/3.
Text Solution
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Since the ball strikes the trolley, with respect to the relative to the trolley, the velocity of the ball should be pointed towards the trolley. Hence, in the trolley frame, the ball will seem to be travelling towards OA, or in the trolley frame, the ball's velocity will create an angle of 
.
First, we find the angle that ball makes an angle with the surface.
We will use sine rule,
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