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BITSAT2012PhysicsMotion in Two DimensionsActual

A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the times of flight in two cases, then what is the product of two times of flight?

Options

  1. At ₁ t ₂ R
  2. Bt ₁ t ₂ R ²
  3. Ct ₁ t ₂ l / R
  4. Dt ₁ t ₂ 1 / R ²

Correct answer

A. t ₁ t ₂ R

Step-by-step solution

t ₁= 2 u g and t ₂= 2 u (90- ) g = 2 u g aligned t ₁ t ₂ &= 4 u ² g ² = 2 ~g [ u ² 2 g ] &= 2 ~g R , aligned where R is the range. Hence t₁ t₂ R

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