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Q.

At what angle should a ball be thrown with a speed of 56ms−1 such that it covers the maximum possible range without hitting the 40 m high ceiling of the hall?

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a

25∘

b

30∘

c

45∘

d

60∘

answer is B.

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Detailed Solution

Here, u=56ms−1Let θ be the angle of projection with the horizontal to have maximum range, with maximum height = 40 mMaximum height, H=u2sin2⁡θ2g40=(50)2sin2⁡θ2×9.8sin2⁡θ=2×9.8×40(56)2=14 or sin⁡θ=12 or θ=sin−1⁡12=30∘
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