A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What i

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Question: A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What is the distance covered by the car during this time?

Options:

100 m
200 m
300 m
400 m

Correct Answer: 200 m

Solution:

Using the formula: distance = initial velocity * time + 0.5 * acceleration * time^2. Here, initial velocity = 0, final velocity = 20 m/s, time = 10 s. Acceleration = (final velocity - initial velocity) / time = 2 m/s². Distance = 0 + 0.5 * 2 * 10² = 100 m.

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What i

Practice Questions

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What is the distance covered by the car during this time?

100 m
200 m
300 m
400 m

Questions & Step-by-Step Solutions

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What is the distance covered by the car during this time?

Correct Answer: 100 m

Step 1: Identify the initial velocity of the car. Since the car starts from rest, the initial velocity is 0 m/s.
Step 2: Identify the final velocity of the car. The final velocity is given as 20 m/s.
Step 3: Identify the time taken for the acceleration. The time is given as 10 seconds.
Step 4: Calculate the acceleration using the formula: acceleration = (final velocity - initial velocity) / time. Plug in the values: acceleration = (20 m/s - 0 m/s) / 10 s = 2 m/s².
Step 5: Use the distance formula: distance = initial velocity * time + 0.5 * acceleration * time². Since the initial velocity is 0, the formula simplifies to distance = 0 + 0.5 * acceleration * time².
Step 6: Plug in the values for acceleration and time: distance = 0.5 * 2 m/s² * (10 s)².
Step 7: Calculate (10 s)², which is 100 s².
Step 8: Now calculate the distance: distance = 0.5 * 2 * 100 = 100 m.

Uniform Acceleration – The car accelerates uniformly from rest, meaning its acceleration is constant over the time period.
Kinematic Equations – The question tests the application of kinematic equations to find distance when initial velocity, final velocity, and time are known.
Calculation of Acceleration – The calculation of acceleration from the change in velocity over time is a key concept in solving the problem.

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What i

What’s inside this PDF?

A car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds. What i

Practice Questions

Questions & Step-by-Step Solutions

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