A hunter tries to hunt a monkey with a small very poisonous arrow, blow form a pipe with initial speed `v_(0)`. The monkey is hanging on a branch of a tree at height `H` above the ground. The hunter is at a distance `L` form the the bottom of the tree. The monkey sees the arrow leaving the blow pipe and immediately loses the grip on the tree, falling freely down with zero initial velocity. The minimum initial speed `v_(0)` of the arrow for hunter to success while monkey is in air-

Options

A. `sqrt((g(H^(2) + L^(2)))/(2H))`
B. `sqrt((gH^(2))/(sqrt(H^(2) + L^(2)))`
C. `sqrt((g sqrt(H^(2) + L^(2)))/(H))`
D. `sqrt((2gH^(2))/(sqrt(H^(2) + L^(2)))`

Answer

A