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A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is

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Question: A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)

Options:

  1. 90 m
  2. 120 m
  3. 150 m
  4. 180 m

Correct Answer: 120 m

Solution: 

Using the formula: distance = initial velocity * time + 0.5 * acceleration * time^2. Here, acceleration = (0 - 30) / 6 = -5 m/s². Distance = 30 * 6 + 0.5 * (-5) * 6^2 = 180 - 90 = 90 m.

A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is

Practice Questions

Q1
A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)
  1. 90 m
  2. 120 m
  3. 150 m
  4. 180 m

Questions & Step-by-Step Solutions

A car moving at 30 m/s applies brakes and comes to a stop in 6 seconds. What is the distance covered during braking? (2023)
  • Step 1: Identify the initial velocity of the car, which is 30 m/s.
  • Step 2: Identify the final velocity of the car, which is 0 m/s (since it comes to a stop).
  • Step 3: Identify the time taken to stop, which is 6 seconds.
  • Step 4: Calculate the acceleration using the formula: acceleration = (final velocity - initial velocity) / time. Here, it is (0 - 30) / 6 = -5 m/s².
  • Step 5: Use the distance formula: distance = initial velocity * time + 0.5 * acceleration * time^2.
  • Step 6: Plug in the values: distance = 30 * 6 + 0.5 * (-5) * (6^2).
  • Step 7: Calculate the first part: 30 * 6 = 180.
  • Step 8: Calculate the second part: 0.5 * (-5) * 36 = -90.
  • Step 9: Add the two parts together: 180 - 90 = 90 m.
  • Step 10: Conclude that the distance covered during braking is 90 meters.
  • Kinematics – The study of motion, specifically how distance, velocity, acceleration, and time relate to each other.
  • Equations of Motion – Using the equations of motion to calculate distance when initial velocity, time, and acceleration are known.
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