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COMEDK2023Morning ShiftPhysicsMotion in One DimensionActual

A car starts from rest and accelerates uniformly to a speed of 180 ~kmh ⁻¹ in 10 ~s . The distance covered by the car in this time interval is

Options

  1. A100 m
  2. B500 m
  3. C200 m
  4. D250 m

Correct answer

D. 250 m

Step-by-step solution

The initial velocity u = 0 m/s. The final velocity v = 180 kmh ⁻¹ . Converting v to m/s: v = 180 5 18 = 50 m/s . The time interval t = 10 s . Since the acceleration is uniform, the average velocity is u + v 2 = 0 + 50 2 = 25 m/s . The distance covered s = average velocity t = 25 m/s 10 s = 250 m . Answer: 250 m

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