A ball falls on an inclined plane of inclination θ from a height h above the point of impact and makes a perfectly elastic Collision. Where will it hit the plane again?

Question

Philoid · Accepted Answer

Angle of inclination on the plane is Ө,

The body falls through the height h,

Acceleration due to gravity g = 10 m/s,

The striking velocity of the projectile with the inclined plane is

Now, the projectile makes an angle of

Velocity of projection will be,

Let AB=l,

So,

From equation of trajectory

So,

Thus, it will hit the plane again at 8h sin θ along the incline.