Q.

The height of the ceiling of a long hall is 7.2 m. The maximum horizontal distance that a rubber ball thrown with a speed of 20 ms-1 can go without touching the ceiling of the hall is (take g = 10 ms-2)

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a

40.8 m

b

39.2 m

c

40 m

d

38.4 m

answer is A.

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Detailed Solution

Here the maximum height is H= 7.2 m and the velocity of projection u=  20m/s

H=u2sin2θg  solving sinθ=3/5 so cosθ=4/5

Range R= ucosθ×2usinθg

Substituting the values we get R=3.8 m

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