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KCET2008PhysicsMotion in Two Dimensions

A body is projected vertically upwards. The times corresponding to height while ascending and while descending are t ₁ and t ₂ respectively. Then the velocity of projection is ( is acceleration due to gravity)

Options

  1. Ag t₁ t₂
  2. Bg t₁ t₂ t₁+t₂
  3. Cg t₁ t₂ 2
  4. Dg (t₁+t₂ ) 2

Correct answer

D. g (t₁+t₂ ) 2

Step-by-step solution

In case of motion under gravity, time taken to go up is equal to the time taken to fall down through the same distance. Time of descent (t₂ )= time of ascent (t₁ )= u g Total time of flight T = t ₁+ t ₂= 2 u g u = g ( t ₁+ t ₂ ) 2

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