Degree Angle
If I throw a ball at a 30 degree angle on the ground, does it bounce off the ground with a 30 degree angle?
If I throw a ball at a 30 degree angle on the ground, and the coefficient of restitution is 0.8, does it bounce off the ground with a 30 degree angle?
I would say almost certainly not, either in theory or in practice.
Of course, it all depends on your model of what happens during the collision with the ground.
One model says that during the collision, the only forces that the ground can exert are normal to the surface. In this case, the restitution applies only to the vertical force. With no external horizontal forces, the horizontal component of velocity is unchanged by the collision while the magnitude of vertical component is reduced so the outgoing angle will be different from the incoming angle whenever the horizontal velocity is not 0.
The other model says that the ground exerts both vertical and horizontal forces on the ball. In this case, the horizontal forces on the ball, in addition to slowing it down, also change its spin. Thus the post-collision kinetic energy is split into linear and rotational kinetic energy in a split different from the pre-collision kinetic energy. Since the difference will depend on the moment of inertia of the ball and the nature of the collision (how much time the surfaces stay in contact, how far the ball compresses, etc.) the behavior can not be characterized by a simple number.
Either way, you need more than just the coefficient of restitution to compute the angle with this model.
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