A ball is projected from a given point with velocity u at some angle with the horizontal and after hitting a vertical wall returns to the same point. Show that the distance of the point from the wall must be less than `(eu^2)/((1+e)g)`, where e is the coefficient of restitution.

A ball is projected from a given point with velocity u at some angle w

1.	A ball is projected from a given point with velocity u at some angle with the horizontal and after hitting a vertical wall returns to the same point. Show that the distance of the point from the wall must be less than `(eu^2)/((1+e)g)`, where e is the coefficient of restitution.
Answer» `(x)/(ucosalpha)+(x)/(eucosalpha)=T=(2usinalpha)/(g)` or `x=(eu^2sin2alpha)/((1+e)g)impliesx_(max)=(eu^2)/((1+e)g)` at `2alpha=90^@`

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A ball is projected from a given point with velocity u at some angle with the horizontal and after hitting a vertical wall returns to the same point. Show that the distance of the point from the wall must be less than `(eu^2)/((1+e)g)`, where e is the coefficient of restitution.

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