Question
A ball rolls 9 m north in 3 s, then is kicked back and rolls 9 m south in 3 s. What is true about the values
of the speed and velocity of the ball? (1 point)
The speed was 3 m/s, and the velocity was 0 m/s.
The speed was 0 m/s, and the velocity was 3 m/s.
The speed was 3 m/s, and the velocity was 3 m/s.
The speed was 6 m/s, and the velocity was 0 m/s.
of the speed and velocity of the ball? (1 point)
The speed was 3 m/s, and the velocity was 0 m/s.
The speed was 0 m/s, and the velocity was 3 m/s.
The speed was 3 m/s, and the velocity was 3 m/s.
The speed was 6 m/s, and the velocity was 0 m/s.
Answers
GPT-4o mini
To analyze the motion of the ball, let's first calculate the speed and velocity.
1. **Speed**: Speed is a scalar quantity that refers to how fast something is moving regardless of direction. It is calculated as the total distance traveled divided by the total time taken.
- The ball rolls 9 m north and then 9 m south, for a total distance of:
\[
9 \, \text{m} + 9 \, \text{m} = 18 \, \text{m}
\]
- The total time for this motion is:
\[
3 \, \text{s} + 3 \, \text{s} = 6 \, \text{s}
\]
- Therefore, the average speed of the ball is:
\[
\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{18 \, \text{m}}{6 \, \text{s}} = 3 \, \text{m/s}
\]
2. **Velocity**: Velocity is a vector quantity that refers to the rate at which an object changes its position, including direction. It can be calculated as the total displacement divided by the total time taken.
- The initial displacement is 9 m north, and then it moves 9 m south, resulting in a total displacement of:
\[
9 \, \text{m (north)} - 9 \, \text{m (south)} = 0 \, \text{m}
\]
- The total time remains 6 s, so the average velocity is:
\[
\text{Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} = \frac{0 \, \text{m}}{6 \, \text{s}} = 0 \, \text{m/s}
\]
In conclusion, the final results are:
- Speed: \(3 \, \text{m/s}\)
- Velocity: \(0 \, \text{m/s}\)
Thus, the correct answer is:
**The speed was 3 m/s, and the velocity was 0 m/s.**
1. **Speed**: Speed is a scalar quantity that refers to how fast something is moving regardless of direction. It is calculated as the total distance traveled divided by the total time taken.
- The ball rolls 9 m north and then 9 m south, for a total distance of:
\[
9 \, \text{m} + 9 \, \text{m} = 18 \, \text{m}
\]
- The total time for this motion is:
\[
3 \, \text{s} + 3 \, \text{s} = 6 \, \text{s}
\]
- Therefore, the average speed of the ball is:
\[
\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{18 \, \text{m}}{6 \, \text{s}} = 3 \, \text{m/s}
\]
2. **Velocity**: Velocity is a vector quantity that refers to the rate at which an object changes its position, including direction. It can be calculated as the total displacement divided by the total time taken.
- The initial displacement is 9 m north, and then it moves 9 m south, resulting in a total displacement of:
\[
9 \, \text{m (north)} - 9 \, \text{m (south)} = 0 \, \text{m}
\]
- The total time remains 6 s, so the average velocity is:
\[
\text{Velocity} = \frac{\text{Total Displacement}}{\text{Total Time}} = \frac{0 \, \text{m}}{6 \, \text{s}} = 0 \, \text{m/s}
\]
In conclusion, the final results are:
- Speed: \(3 \, \text{m/s}\)
- Velocity: \(0 \, \text{m/s}\)
Thus, the correct answer is:
**The speed was 3 m/s, and the velocity was 0 m/s.**