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JEE Main202127 Aug 2021Evening ShiftPhysicsMotion in Two DimensionsActual

A player kicks a football with an initial speed of 25 m s - 1 at an angle of 45 ° from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion? (Take g = 10 m s - 2 )

Options

  1. Ah max = 15 . 625   m ,   T = 1 . 77   s
  2. Bh max = 3 . 54   m ,   T = 0 . 125   s
  3. Ch max = 10   m ,   T = 2 . 5   s
  4. Dh max = 15 . 625   m ,   T = 3 . 54   s

Correct answer

A. h max = 15 . 625   m ,   T = 1 . 77   s

Step-by-step solution

θ = 45 ° H = u 2 sin 2 θ 2 g = ( 25 ) 2 × 1 2 2 × 10 = 125 8   m and time t = T 2 = u sin θ g = 25 1 2 10 = 25 10 2 = 5 2 2 s

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