A body is projected vertically upwards from the surface of the earth with a velocity equal to $\large\frac{3}{4}$th escape velocity of earth. If 'R' is the radius of earth, the maximum height attained by the body is :

Question

$\begin {array} {1 1} (1)\;\large\frac{9}{7}R & \quad (2)\;\large\frac{9}{8}R \\ (3)\;\large\frac{10}{3}R & \quad (4)\;\large\frac{10}{9}R \end {array}$