My Learning Cart
?
Categories
Account

A car moving at 60 km/h applies brakes and comes to a stop in 5 seconds. What is

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A car moving at 60 km/h applies brakes and comes to a stop in 5 seconds. What is the distance covered during braking?

Options:

  1. 50 m
  2. 60 m
  3. 70 m
  4. 40 m

Correct Answer: 50 m

Solution: 

Convert speed to m/s: 60 km/h = 16.67 m/s. Using s = ut + 0.5at², where a = (0 - 16.67)/5 = -3.33 m/s², we find s = 16.67 * 5 + 0.5 * (-3.33) * 5² = 41.67 m.

A car moving at 60 km/h applies brakes and comes to a stop in 5 seconds. What is

Practice Questions

Q1
A car moving at 60 km/h applies brakes and comes to a stop in 5 seconds. What is the distance covered during braking?
  1. 50 m
  2. 60 m
  3. 70 m
  4. 40 m

Questions & Step-by-Step Solutions

A car moving at 60 km/h applies brakes and comes to a stop in 5 seconds. What is the distance covered during braking?
Correct Answer: 41.67 m
  • Step 1: Convert the speed from kilometers per hour (km/h) to meters per second (m/s). To do this, use the conversion factor: 1 km/h = 1/3.6 m/s. So, 60 km/h = 60 / 3.6 = 16.67 m/s.
  • Step 2: Identify the initial speed (u) and the final speed (v). Here, the initial speed u = 16.67 m/s and the final speed v = 0 m/s (since the car stops).
  • Step 3: Calculate the acceleration (a) using the formula: a = (v - u) / t, where t is the time in seconds. Here, t = 5 seconds. So, a = (0 - 16.67) / 5 = -3.33 m/s².
  • Step 4: Use the formula for distance (s) covered during braking: s = ut + 0.5at². Substitute the values: s = 16.67 * 5 + 0.5 * (-3.33) * (5)².
  • Step 5: Calculate the distance: s = 16.67 * 5 = 83.35 m and 0.5 * (-3.33) * 25 = -41.625 m. So, s = 83.35 - 41.625 = 41.725 m.
  • Step 6: Round the final answer to two decimal places if needed. The distance covered during braking is approximately 41.67 m.
  • Kinematics – The question tests the understanding of motion equations, specifically how to calculate distance using initial velocity, acceleration, and time.
  • Unit Conversion – It requires converting speed from kilometers per hour to meters per second, which is a common step in physics problems.
  • Acceleration – The calculation of acceleration during braking is essential to apply the kinematic equation correctly.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks