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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