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At the height of 8000 m, an aeroplane is moving horizontally with speed of 100 m/s. A bomb is dropped from it, so as to hit a target. At what horizontal distance from the target, should the bomb be released? (g = 10 m/s^2) |
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Answer» tion:The initial speed of AEROPLANE HORIZONTALLY , u = 100 m/sThe distance from the ground , h = 8000 mLet the horizontal distance be x mThe initial speed vertically , v = 0 m/ss = vt + 1/2 gt^2h = 0 + 5t^28000 = 5t^2 t = under root 1600 sec t = 40 secs = ut +1/2 at^2x = ut + 1/2 gt^2x = 100 x 40 + 1/2 X 10 x 40 x 40x = 4000 + 8000x = 12000 mThe horizontal distance is 12000 m or 12Km |
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