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Q. A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is:

KEAMKEAM 2003

Solution:

$ {{u}^{2}}=2gh $ $ \Rightarrow $ $ {{\left( \frac{1}{3}\sqrt{2gR} \right)}^{2}}=2gh $ $ \Rightarrow $ $ h=\frac{R}{9} $