If a car accelerates from rest at a rate of 3 m/s², what is its velocity after 5

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Question: If a car accelerates from rest at a rate of 3 m/s², what is its velocity after 5 seconds?

Options:

Correct Answer: 15 m/s

Solution:

Using the formula v = u + at, where u = 0, a = 3 m/s², and t = 5 s, we get v = 0 + (3)(5) = 15 m/s.

If a car accelerates from rest at a rate of 3 m/s², what is its velocity after 5 seconds?

If a car accelerates from rest at a rate of 3 m/s², what is its velocity after 5 seconds?

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 rate of 3 m/s², so a = 3 m/s².
Step 3: Identify the time (t). The problem states that the time is 5 seconds, so t = 5 s.
Step 4: Use the formula for final velocity (v): v = u + at.
Step 5: Substitute the values into the formula: v = 0 + (3 m/s² * 5 s).
Step 6: Calculate the result: v = 0 + 15 m/s = 15 m/s.
Step 7: Conclude that the velocity of the car after 5 seconds is 15 m/s.

Kinematics – The study of motion, specifically how velocity changes over time due to acceleration.
Equations of Motion – Using the formula v = u + at to calculate final velocity based on initial velocity, acceleration, and time.