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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 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 package to reach the ground:T = 2×18010 = 6 s Horizontal 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× 6 = 24 m.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 horizontal distance between the package and the helicopter when the package hits the ground?