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A projectile is fired verticaly upward f...

A projectile is fired verticaly upward from the surface of earth with a velocity `KV_(e)`, where `V_(e)` is the escape velocity and `K lt 1`. Neglecting air resistance, the maximum height it will rise measured from the centre of the earth is : (Where are R = radius of earth) :-

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If a body is projected from the surface of earth with a velocity v and reaches a height h, by conservation of energy
`-(GMm)/(R) + (1)/(2) mv^(2) = -(GMm)/(R+h) therefore h = (R)/(1-K^(2))`
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