A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 1

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Question: A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

Options:

Correct Answer: 100 m

Exam Year: 2020

Solution:

Using the formula s = ut + (1/2)at²; s = 0 + (1/2)(2)(10²) = 100 m.

A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

A vehicle accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds? (2020)

Step 1: Identify the initial velocity (u). Since the vehicle starts from rest, u = 0 m/s.
Step 2: Identify the acceleration (a). The vehicle accelerates at a rate of 2 m/s², so a = 2 m/s².
Step 3: Identify the time (t). The time given is 10 seconds, so t = 10 s.
Step 4: Use the formula for distance (s): s = ut + (1/2)at².
Step 5: Substitute the values into the formula: s = 0 + (1/2)(2)(10²).
Step 6: Calculate 10², which is 100.
Step 7: Calculate (1/2)(2)(100). First, (1/2)(2) = 1, then 1 * 100 = 100.
Step 8: Conclude that the vehicle travels 100 meters in 10 seconds.

Kinematics – The study of motion, specifically how objects move under the influence of forces, including concepts of acceleration, distance, and time.
Equations of Motion – The use of kinematic equations to relate distance, initial velocity, acceleration, and time in uniformly accelerated motion.