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A jet aeroplane is flying at a constant height of 2 km with a speed 360 kmh-1 above the ground towards atarget and releases a bomb. After how much time, it will hit the target and what will be the horizontaldistance of the aeroplane from the target, so that the bomb should hit the target? (Take, 9 = 10 ms-1)

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a

10 s, 1 km

b

20 s, 2 km

c

30 s, 3 km

d

40 s, 4 km

answer is B.

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Detailed Solution

Given, H=2000 m,u=360kmh-1u=360×518=100 ms-1The time taken by the bomb to hit the target isT=2Hg=2×200010=20 sThe horizontal distance of the aeroplane from the target,R=u2Hg=100×20=2000 m=2 km

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A jet aeroplane is flying at a constant height of 2 km with a speed 360 kmh-1 above the ground towards atarget and releases a bomb. After how much time, it will hit the target and what will be the horizontaldistance of the aeroplane from the target, so that the bomb should hit the target? (Take, 9 = 10 ms-1)