Projectile motion of balls

Two balls A A and B B are thrown horizontally from a height of H , H, as shown above. The horizontal throw lengths of A A and B B are R R and 2 R , 2R, respectively. Let h h be the height of B B when its horizontal throw length is R . R. What is the ratio h : H ? h:H?

4:5 3:4 2:3 1:2

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1 solution

Ajit Athle
Mar 30, 2014

For ball B: y = - gx^2/(2u^2) with the point of throw as the origin and x-axis going to the left. Or -(H-h)=gR^2/(2u^2). Also, - H= - g(4R^2)/(2u^2) or H =4*(H - h) which gives, h/H=3/4

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