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AP EAMCET202315 May 2023Morning ShiftPhysicsMotion in Two DimensionsActual

A stone thrown with velocity ' u ' at angles ' ^ and (90^ - ) with the horizontal reaches to maximum heights H ₁ and H ₂ respectively. Its horizontal range is

Options

  1. A4 H ₁ H ₂
  2. B2 H ₁ H ₂
  3. C2 H ₁ H ₂
  4. D[4] H ₁ H ₂

Correct answer

A. 4 H ₁ H ₂

Step-by-step solution

Maximum height, H= u^2 ^2 2 g and horizontal range, R= u^2 2 g aligned & H ₁= u ^2 ^2 2 ~g and H ₂= u ^2 ^2 (90^ - ) 2 ~g = u ^2 ^2 2 ~g & H ₁ H ₂= u ^2 ^2 2 ~g u ^2 ^2 2 ~g = ( u ^2 2 )^2 16 ~g ^2 = R ^2 16 & R =4 H ₁ H ₂ aligned

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