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COMEDK · Physics · 3. Motion In One Dimension

A car is moving with a speed of \(54\text{ km/h}\). If the driver applies brakes and it stops after \(3\text{ s}\), then how much distance is covered by the car before coming to rest?

  1. A \(22.5 \mathrm{~m}\)
  2. B \(20 \mathrm{~m}\)
  3. C \(25 \mathrm{~m}\)
  4. D \(45.2 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(22.5 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

\(u = 54 \times \dfrac{5}{18} = 15\,\text{m/s}\), \(v = 0\), \(t = 3\,\text{s}\) \(s = \left(\dfrac{u+v}{2}\right) \times t = \left(\dfrac{15+0}{2}\right) \times 3 = 7.5 \times 3 = 22.5\,\text{m}\) Correct option: (1)