A projectile is fired vertically upward from the surface of earth with a velocity \( K v_{e} \) ...

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A projectile is fired vertically upward from the surface of earth with a velocity \( K v_{e} \) where \( v_{e} \) is the escape velocity and
P \( K1 \). Neglecting air resistance, show that the maximum height to which it will rise measured from the centre of earth is \( R /\left(1-K^{2}\right) \) where \( R \) is the radius of the earth.
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