Simple isn't it? #7

A group of friends from BRILLIANT decide to go for a bungee jumping camp. The second one to jump is Swapnil. He jumps from the top of a cliff of height $H$ . He performs a damped oscillatory motion along the vertical motion. The first time he reaches at the lowest level ,i.e, $height=0m$ above the ground. Then he goes up to a certain height. Similar type of motion goes on until an equilibrium state is obtained at height $h=\frac{51H}{200}$ .

Find the maximum velocity obtained during the motion.

The maximum velocity is given by: $\frac{a}{b}\sqrt{\frac{Hg}{c}}$

Find $a+b+c$

Details and Assumptions

• Nothing bad happens to Swapnil.
• Consider Swapnil to be a point sized particle.

This problem is of this set.