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QJEEM21Ph9218: JEE Main 2021 Physics - Class 11 JEEM21Ph9218 Solution: A helicopter is flying horizontally with a speed 'v' at an…

A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

Multiple Choice Options

  • A 2ghv2+1h2\sqrt {{{2gh{v^2} + 1} \over {{h^2}}}}
  • B 2ghv2+h2\sqrt {2gh{v^2} + {h^2}}
  • C 2v2hg+h2\sqrt {{{2{v^2}h} \over g} + {h^2}}
  • D 2ghv2+h2\sqrt {{{2gh} \over {{v^2}}} + {h^2}}

Step-by-Step Verified Solution

JEE Main 2021 (Online) 31st August Morning Shift Physics - Motion in a Plane Question 45 English Explanation
R=2hg. vR = \sqrt {{{2h} \over g}} .\,v

D=R2+h2D = \sqrt {{R^2} + {h^2}}

=(2hg. v)2+h2= \sqrt {{{\left( {\sqrt {{{2h} \over g}} .\,v} \right)}^2} + {h^2}}

D=2hv2g+h2D = \sqrt {{{2h{v^2}} \over g} + {h^2}}

Option (c) is correct.

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