Q.

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 between the package and the helicopter when the package hits the ground?

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a

120 m

b

24 m

c

36 m

d

72 m

answer is D.

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Detailed Solution

Time taken by packet to reach the ground:T=2×18010=6sHorizontal distance travelled by helicopter in this time= 8 x 6 = 48 m.Velocity of package w.r.t. ground= 12 - 8 = 4 m/s in backward direction.Horizontal distance travelled by package in time,T=4 x 6=24m.So, horizontal distance between them = 48 + 24 = 72 m
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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 between the package and the helicopter when the package hits the ground?