If a car accelerates from rest to 20 m/s in 5 seconds, what is its acceleration?
Practice Questions
Q1
If a car accelerates from rest to 20 m/s in 5 seconds, what is its acceleration?
2 m/s²
4 m/s²
5 m/s²
10 m/s²
Questions & Step-by-Step Solutions
If a car accelerates from rest to 20 m/s in 5 seconds, what is its acceleration?
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 5 seconds.
Step 4: Use the formula for acceleration, which is: acceleration = (final velocity - initial velocity) / time.
Step 5: Substitute the values into the formula: acceleration = (20 m/s - 0 m/s) / 5 s.
Step 6: Calculate the difference in velocity: 20 m/s - 0 m/s = 20 m/s.
Step 7: Divide the difference in velocity by the time: 20 m/s / 5 s = 4 m/s².
Step 8: Conclude that the acceleration of the car is 4 m/s².
Acceleration – Acceleration is the rate of change of velocity over time, calculated as the difference between final and initial velocity divided by the time taken.