Question

A particle strikes a horizontal frictionless floor with a speed $u$ at an angle $\theta$ with the vertical, and rebounds with a speed $v$ at an angle $\varphi$ with vertical. The coefficient of restitution between the particle and floor is $e$.
Angle $\varphi$ is equal to

• A. $\theta$
• B. ${\tan }^{-1}\left[e\tan \theta \right]$
• C. ${\tan }^{-1}\left[\frac{1}{e}\tan \theta \right]$
• D. $(1+e{)}^o$

Answer 1

The correct option is C ${\tan }^{-1}\left[\frac{1}{e}\tan \theta \right]$

resolving the velocites into components