Question icon
Grade 12th passMechanics

A Hunter tries to hunt a monkey with a small Arrow with initial velocity u not the monkey is hanging on branch of tree of height H above the ground Hunter is l distance from the bottom of the tree monkey sees the arrow and immediately fall freely with zero initial velocity the the min speed of Arrow Hunter to succeed

Profile image of Aditya
7 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Eshan
7 Years ago
Dear student,

For minimum speed of arrow, the arrow will hit the monkey at the bottom of the tree.
Hence the range of arrow=l
Displacement of monkey in time of flight of arrow=H
Hencel=\dfrac{2u^2sin\theta cos\theta}{g}
andH=\dfrac{1}{2}g(2\dfrac{usin\theta}{g})^2=\dfrac{2u^2sin^2\theta}{g}
Solving the two equations can give the value ofu