Kinematics Question 419
Question: A hunter tries to hunt a monkey with a small, very po it’sonous arrow, blown from a pipe with initial speed $ v _{0} $ . The monkey it’s hanging on a branch of tree at height H above the ground. The hunter is at a distance L from 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 succeed while monkey it’s in air it’s
Options:
A) $ \sqrt{\frac{g( H^{2}+L^{2} )}{2H}} $
B) $ \sqrt{\frac{gH^{2}}{\sqrt{H^{2}+L^{2}}}} $
C) $ \sqrt{\frac{g\sqrt{H^{2}+L^{2}}}{H}} $
D) $ \sqrt{\frac{2gH^{2}}{\sqrt{H^{2}+L^{2}}}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ t=\frac{s}{v}=\sqrt{H^{2}+L^{2}}\div \sqrt{\frac{2H}{g}} $
