A car accelerates from rest to a speed of 30 m/s in 10 seconds. What is the acce

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Question: A car accelerates from rest to a speed of 30 m/s in 10 seconds. What is the acceleration of the car? (2022)

Options:

Correct Answer: 3 m/s²

Exam Year: 2022

Solution:

Acceleration (a) = (final velocity - initial velocity) / time = (30 m/s - 0) / 10 s = 3 m/s².

A car accelerates from rest to a speed of 30 m/s in 10 seconds. What is the acceleration of the car? (2022)

A car accelerates from rest to a speed of 30 m/s in 10 seconds. What is the acceleration of the car? (2022)

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 30 m/s.
Step 3: Identify the time taken for the acceleration. The time is given as 10 seconds.
Step 4: Use the formula for acceleration: Acceleration (a) = (final velocity - initial velocity) / time.
Step 5: Substitute the values into the formula: a = (30 m/s - 0 m/s) / 10 s.
Step 6: Calculate the difference in velocity: 30 m/s - 0 m/s = 30 m/s.
Step 7: Divide the difference in velocity by the time: 30 m/s / 10 s = 3 m/s².
Step 8: Conclude that the acceleration of the car is 3 m/s².

Acceleration – Acceleration is the rate of change of velocity of an object over time.
Kinematic Equations – Basic kinematic equations relate initial velocity, final velocity, acceleration, and time.