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AP EAMCET202420 May 2024Morning ShiftPhysicsMotion in Two DimensionsActual

A projectile can have the same range (R) for two angles of projection. Their initial velocities are same. If T₁ and T ₂ are times of flight in two cases, then the product of two times of flight is directly proportional to

Options

  1. A1 R
  2. BR ^3
  3. CR ^2
  4. DR

Correct answer

D. R

Step-by-step solution

For same range, R₁=R₂=R ₁= , ₂= (90^ - ) T ₁= 2 u ₁ ~g = 2 usin g T ₂= 2 u ₂ ~g = 2 u (90^ - ) g = 2 u g T ₁ ~T ₂= ( 2 u g ) ( 2 u g )= 2 ~g ( u ^2 2 ~g )= 2 R g T ₁ ~T ₂ R

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