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COMEDK20269 May 2026Evening ShiftPhysicsMotion in Two DimensionsActual

A boy, standing at a certain height, kicks a football horizontally with a velocity of 19.6 ms⁻¹ . What will be the ratio of horizontal and vertical components of velocities after 2s?

Options

  1. A1:1
  2. B( 3 2 ):1
  3. C1: 2
  4. D1:0.5

Correct answer

A. 1:1

Step-by-step solution

Initial horizontal velocity, u_x = 19.6 ms⁻¹ Initial vertical velocity, u_y = 0 ms⁻¹ Acceleration in horizontal direction, a_x = 0 Acceleration in vertical direction, a_y = g = 9.8 ms⁻² Time, t = 2 s Horizontal velocity after 2 s , v_x = u_x + a_x t = 19.6 ms⁻¹ Vertical velocity after 2 s , v_y = u_y + a_y t = 0 + 9.8 2 = 19.6 ms⁻¹ Ratio of horizontal and vertical components of velocities = v_x v_y = 19.6 19.6 = 1:1 Answer: 1:1

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