Hailstorms are observed to strike the surface of a frozen lakein a direction making an angle `30^(@)` to the vertical and to rebound at an angle of `45^(@)` to the vertical. Assuming the contact to be, smooth find the coefficient of restitution.

Explanation

we know that `tan alpha = (tan theta)/( e) , tan 45 ^(@) = (tan 30^(@))/( 3) implies e = (1)/(sqrt3) =0.577`