A ball of mass m is given an initial rotation w as shown and allowed to fall from a height h on a rough plate of mass M which rests on a smooth surface.The friction coefficient between the ball and the plate is μand the coefficient of restitution is e..Now it rebounds and continues to move in air.

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Then answer the following questions.
After rebound the trajectory followed by the ball and the centre of mass of ball and plate as a system will be ,
a) parabola and straightline respectively.
b) parabola for both.
c) straight line for both.
d) can't be determined.
Q42) In the previous question,
What is the impulse delivered friction on the ball when it rebounds ?
a) μem√(2gh)
b) μ(e-1)m√(2gh)
c) μ(e+1)m√(2gh)
d) (μm/e)√(2gh)
Q43) What is the velocity acquired by the plate immediately after rebounce of the ball?
a) μM√(2gh)
b) (μm/M)(e+1)√(2gh)
c) μMe√(2gh)
d) μM(e+1)√(2gh)
Q44) What is the range of the ball with respect to the plate.(In other words find the distance on the plate where the ball lands again).
a) 2heμm/M
b) 4h(e+1)μ(1+m/M)
c) 4he(e+1)μ(1+m/M)
d) 2h(e+1)μ(1+m/M)