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Question

A helicopter is flying horizontally at 8 m/s at an altitude 180 m when a package of emergency medical supplies is ejected horizontally backward with a speed of 12 m/s relative to the helicopter. Ignoring air resistance what is the horizontal distance(in m) between the package and the helicopter when the package hits the ground ? 


Solution

Relative velocity of package wrt helicopter Vph=VpgVhg
12^i=Vpg8^i
Vpg=12^i+8^i=4^i
Using second equation of motion
Time taken by package to hit the ground 180=12×10t2t=6 sec
distance between package and helicopter =|Vpg|t+|Vhg|t
=4×6+8×6
=72 m

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