A particle is projected on a frictionless inclined plane of inclination 37° at an angle of projection 45° from the inclined plane as shown in the figure. If after the first collision from the plane, the particle returns to its point of projection, then what is the value of the reciprocal of the coefficient of restitution between the particle and the plane?

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(3)

While going upward the time of flight is

So the range on the inclined plane is

Just after the collision of the projectile with the inclined plane, the components of its
velocity down the inclined plane and perpendicular to the inclined plane are

The time of flight while going down the inclined plane is

The range of the projectile while going down is



Substituting the value as
we get


or 
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