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COMEDK · Physics · 4. Motion In Two Dimensions

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?

  1. A \(1:1\)
  2. B \(\left(\dfrac{\sqrt{3}}{2}\right):1\)
  3. C \(1:\sqrt{2}\)
  4. D \(1:0.5\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1:1\)

Step-by-step Solution

Detailed explanation

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 \(2\ s\),…