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Q.

A body is projected from the earth at angle 300  with the horizontal with some initial velocity. If its range is 20 m , the maximum height reached by it is : (in metres)

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a

53

b

53

c

103

d

103

answer is B.

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Detailed Solution

R=u2sin2θg ∴  20=u2sin(2×300)g ⇒  u2g=20sin600=203×2=403 Now, H=u2sinθ2g =403×sin23002 =403×(12)22 =53m
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A body is projected from the earth at angle 300  with the horizontal with some initial velocity. If its range is 20 m , the maximum height reached by it is : (in metres)