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COMEDK · Physics · 4. Motion In Two Dimensions

A ball is projected horizontally with a velocity of \(5 \mathrm{~ms}^{-1}\) from the top of a building \(19.6 \mathrm{~m}\) high. How long will the ball take to hit the ground?

  1. A \(3 \mathrm{~s}\)
  2. B \(\sqrt{2} \mathrm{~s}\)
  3. C \(\sqrt{3} \mathrm{~s}\)
  4. D \(2 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(2 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

The motion of the ball in the vertical direction is governed by the equation of motion under constant acceleration due to gravity \(g = 9.8 \mathrm{~ms}^{-2}\). The vertical displacement \(h\) is given by \(h = u_y t + \dfrac{1}{2} g t^2\), where \(u_y\) is the initial vertical…