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Q.

A ball is thrown from a point O aiming a target at angle 300 with the horizontal, so that the ball hits the target at B but the ball hits at point  A, a vertical distance h below B. If the initial velocity of the ball is 20 ms-1 and the horizontal distance between O and C is 10m. Find the value of h.

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a

g6 m

b

g10 m

c

g3 m

d

g12 m

answer is A.

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Detailed Solution

In moving horizontal distance 10 m, the ball will fall by  distance  12gt2. As,   R=ucosθt⇒  10=20×cos30°t=20×32t⇒t=13 sy=AB=usinθt-12gt2=103-g6 height BC=10 tan30=103 so height AB =BC-AC=103-103+g6=g6
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