A tennis ball hits the floor with a speed v at an angle θ with the normal to the floor. If the collision is inelastic and the coefficient of restitution is ε, what will be the angle of reflection?
A
tan−1[tanθε]
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B
sin−1[sinθε]
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C
θε
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D
θ2εε+1
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Solution
The correct option is Atan−1[tanθε] Along horizontal direction momentum is conserved, vsinϕ=usinθ___(1) Along the vertical, ε=vcosϕucosθ=(sinθsinϕ)(cosϕcosθ)ε=tanθtanϕtanϕ=tanθε ⇒ϕ=tan−1[tanθε]