# Projectile on a inclined plane

A particle is projected from the bottom of a inclined plane at an angle $$\theta$$ with the surface of incline. The incline has an inclination of 1 i.e. angle of incline is 45 degrees. For what value of $$\theta$$ will the particle retrace its path after collision with the plane.

*Note *

• the collision is an elastic collision.
• the answer is of the form $$\theta$$ = $$cot^{-1}x$$ Find $$x$$
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