A particle strikes a horizontal frictionless floor with a speed u, at angle θ to the vertical, and rebounds with a speed v, at an angle ϕ to the vertical. The coefficient of restitution between the particle and the floor is e. The magnitude of v is

1
eu
2
(1 – e)u
3
\(u \sqrt{\sin ^2 \theta+e^2 \cos ^2 \theta}\)
4
\(u \sqrt{e^2 \sin ^2 \theta+\cos ^2 \theta}\)
5
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