A particle is projected vertically upward with a speed of $16 m/s$, after some time, when it again passes through point of projection, its speed is found to be $8 m/s$. It is known that the work done by air resistance is same during upward and downward motion, Then the maximum height attained by the body is ? $(g=10 m/s^2)$

Question

$$(a)\;16\;m \quad (b)\;4.8 m\quad (c)\; 8 m \quad (d)\;12.8\;m$$