A body is projected vertically upwards from the surface of planet of radius \( R\) with a veloci...

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A body is projected vertically upwards from the surface of planet of radius \( R\) with a velocity equal to \( \frac{1}{3} \) the escape velocity for the planet. The maximum height attained by the body is
a. \( \frac{\mathrm{R}}{2} \)
b. \( \frac{R}{3} \)
c. \( \frac{\mathrm{R}}{8} \)
d. \( \frac{\mathrm{R}}{9} \)
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