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A car is traveling at a constant speed of 25 m/s. The driver sees an obstacle and applies the brakes, decelerating at a rate of 5 m/s². How long does it take for the car to come to a complete stop?

  1. A5 seconds
  2. B4 seconds
  3. C3 seconds
  4. D2 seconds
Show answer & explanation

Correct answer: A. 5 seconds

Using the kinematic equation v_f = v_i + at, where v_f = 0 m/s, v_i = 25 m/s, and a = -5 m/s², we solve for t: 0 = 25 + (-5)t, which gives 5t = 25, so t = 5 seconds.

Why the other options are wrong

  • B. Incorrect calculation.
  • C. Incorrect calculation.
  • D. Incorrect calculation; 25/5 is 5, not 2.

Kinematic Equation (Time)

One of the equations of motion used to describe the relationship between initial velocity, final velocity, acceleration, and time for objects moving with constant acceleration.

  • Equation: v_f = v_i + at
  • v_f = final velocity
  • v_i = initial velocity
  • a = acceleration
  • t = time

Memory trick: Speed changes with time, acceleration is the key.

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