A projectile is shot at on an infinite horizontal plane with a speed at an angle to the horizontal. The coefficient of restitution between the projectile and the ground is . If is the total arc length traversed by the projectile till and is the angle of projection such that is maximized , evaluate .
Details and Assumptions:
is a constant while can vary.
is the time beyond which the projectile only has a velocity parallel to the ground i.e., , velocity of projectile has only a horizontal component.
Neglect all forces other than that due to gravity.
is an acute angle measured in degrees.