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A particle strikes a horizontal smooth floor with a velocity \( u \) making an angle \( \theta \) with the floor and rebounds with velocity \( v \) making an angle \( \phi \) with the floor. The coefficient of restitution between the particle and the floor is \( e \).
(A) The impulse delivered by the floor to the body is \( m u(1+e) \sin \theta \)
(B) \( \tan \phi=e \tan \theta \)
(C) \( v=u \sqrt{1-\left(1-e^{2}\right) \sin ^{2} \theta} \)
(D) The ratio of the final kinetic energy to the initial kinetic energy is \( \cos ^{2} \theta+e^{2} \sin ^{2} \theta \).
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