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KVPY2011PhysicsMotion in One Dimension

A juggler tosses a ball up in the air with initial speed u . At the instant it reaches its maximum height H , he tosses up a second ball with the same initial speed. The two balls will collide at a height

Options

  1. AH 4
  2. BH 2
  3. C3 H 4
  4. D3 4 H

Correct answer

C. 3 H 4

Step-by-step solution

H - h = 1 2 gt ² ~h = ut - 1 2 gt ² H = ut ...(1) u ² 2 ~g = H ...(2) t = u 2 ~g ( from (1) and (2)) h = u u 2 ~g - 1 2 ~g u ² 4 ~g ² = 3 u ² 8 ~g = 3 H 4

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