What is the average velocity of a ball that rolls 40 cm in 0.53 seconds?

• A. 21.20 cm/s
• B. 53.00 cm/s
• C. 0.75 cm/s
• D. 75.47 cm/s

Answer: (D)

Verified step by step guidance

1. Understand the concept of average velocity, which is defined as the total displacement divided by the total time taken.
2. Identify the given values in the problem: the displacement (distance traveled by the ball) is 40 cm, and the time taken is 0.53 seconds.
3. Use the formula for average velocity: \( v_{avg} = \frac{\Delta x}{\Delta t} \), where \( \Delta x \) is the displacement and \( \Delta t \) is the time interval.
4. Substitute the given values into the formula: \( v_{avg} = \frac{40 \text{ cm}}{0.53 \text{ s}} \).
5. Perform the division to find the average velocity, ensuring the units are consistent, resulting in a value in cm/s.