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=u2sin2θ2g40=(50)2sin2θ2×9.8sin2θ=2×9.8×40(56)2=14 or sinθ=12 or θ=sin−112=30∘