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.

Question

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.

Infinity Learn · Accepted Answer

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

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