# Gravity Escape velocity

$\large v_e = \sqrt{\frac {2GM}r}$

A body is projected upwards with a with a velocity equal to $$\frac 34$$ the escape velocity of Earth $$v_e$$. What is the height it reaches above the surface of the Earth? You will get an answer in the form of $$\dfrac{aR}{b}$$. Provide the answer as $$a + b$$.

For more such problems, try my set Gravity

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