A car accelerates from rest at a constant rate of 2 m/s². How far does it travel

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Question: A car accelerates from rest at a constant rate of 2 m/s². How far does it travel in 5 seconds? (2021)

Options:

Correct Answer: 25 m

Exam Year: 2021

Solution:

Using the equation of motion: s = ut + (1/2)at². Here, u = 0, a = 2 m/s², t = 5 s. So, s = 0 + (1/2)(2)(5²) = 25 m.

A car accelerates from rest at a constant rate of 2 m/s². How far does it travel in 5 seconds? (2021)

A car accelerates from rest at a constant rate of 2 m/s². How far does it travel in 5 seconds? (2021)

Step 1: Identify the initial velocity (u). Since the car starts from rest, u = 0 m/s.
Step 2: Identify the acceleration (a). The problem states that the car accelerates at a constant rate of 2 m/s², so a = 2 m/s².
Step 3: Identify the time (t). The car accelerates for 5 seconds, so t = 5 s.
Step 4: Use the equation of motion: s = ut + (1/2)at². Substitute the values: s = 0 + (1/2)(2)(5²).
Step 5: Calculate 5², which is 25.
Step 6: Multiply (1/2) by 2, which gives 1.
Step 7: Multiply 1 by 25, which gives 25.
Step 8: Therefore, the distance traveled (s) is 25 meters.

Equations of Motion – The question tests the understanding of the equations of motion, specifically how to calculate distance traveled under constant acceleration.
Kinematics – It assesses knowledge of kinematic principles, including initial velocity, acceleration, and time.