## Question

A projectile is fired vertically upward from the surface of earth with a velocity *Kv _{e}* where

*v*is the escape velocity and

_{e}*K*< 1. Neglecting air resistance, show that the maximum height to which it will rise measured from the centre of earth is

*R/*(1 –

*K*

^{2}) where

*R*is the radius of the earth.

### Solution

If a body is projected from the surface of earth with a velocity *v* and reaches a height, by conservation of energy (relative to surface of earth),

#### SIMILAR QUESTIONS

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