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A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5

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Question: A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?

Options:

  1. 2 m/s²
  2. 3 m/s²
  3. 4 m/s²
  4. 5 m/s²

Correct Answer: 3 m/s²

Solution: 

Convert speed to m/s: 60 km/h = 16.67 m/s. Deceleration = (final velocity - initial velocity) / time = (0 - 16.67) / 5 = -3.33 m/s², approximately 3 m/s².

A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5

Practice Questions

Q1
A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?
  1. 2 m/s²
  2. 3 m/s²
  3. 4 m/s²
  4. 5 m/s²

Questions & Step-by-Step Solutions

A vehicle moving with a speed of 60 km/h applies brakes and comes to a stop in 5 seconds. What is the deceleration?
  • Step 1: Understand the problem. A vehicle is moving at a speed of 60 km/h and comes to a stop in 5 seconds.
  • Step 2: Convert the speed from kilometers per hour (km/h) to meters per second (m/s). Use the conversion: 60 km/h = 60 * (1000 m / 1 km) * (1 h / 3600 s) = 16.67 m/s.
  • Step 3: Identify the initial velocity (speed before braking) and the final velocity (speed after stopping). Initial velocity = 16.67 m/s, Final velocity = 0 m/s.
  • Step 4: Use the formula for deceleration: Deceleration = (Final velocity - Initial velocity) / Time.
  • Step 5: Plug in the values: Deceleration = (0 m/s - 16.67 m/s) / 5 s.
  • Step 6: Calculate the deceleration: Deceleration = -16.67 m/s / 5 s = -3.33 m/s².
  • Step 7: The negative sign indicates deceleration. Therefore, the deceleration is approximately 3 m/s².
  • Speed Conversion – Understanding how to convert speed from km/h to m/s is essential for calculations in physics.
  • Deceleration Calculation – Applying the formula for deceleration, which is the change in velocity over time, is crucial for solving motion problems.
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