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AP EAMCET2012PhysicsMotion in Two Dimensions

It is possible to project a particle with a given velocity in two possible ways so as to make them pass through a point p at a horizontal distance r from the point of projection. If t₁ and t₂ are times taken to reach this point in two possible ways, then the product t₁ t₂ is proportional to

Options

  1. A1 r
  2. Br
  3. Cr^2
  4. D1 r^2

Correct answer

B. r

Step-by-step solution

aligned & T₁= 2 u g & and T₂= 2 u g & T₁ T₂= 2 u^2 g = 2 r g & [ R= v^2 2 g ] & aligned

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