Question
In a science experiment, a student releases a ball down a 3 m ramp. If the ball has an average speed of 3 m/s, which of the following must be true?(1 point)
Responses
It took the ball 3 s to reach the halfway point down the ramp.
It took the ball 3 s to reach the halfway point down the ramp.
The ball never went faster than 3 m/s.
The ball never went faster than 3 m/s.
At a certain point, the ball traveled faster than 3 m/s.
At a certain point, the ball traveled faster than 3 m/s.
The ball traveled at a constant speed of 3 m/s.
The ball traveled at a constant speed of 3 m/s.
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Responses
It took the ball 3 s to reach the halfway point down the ramp.
It took the ball 3 s to reach the halfway point down the ramp.
The ball never went faster than 3 m/s.
The ball never went faster than 3 m/s.
At a certain point, the ball traveled faster than 3 m/s.
At a certain point, the ball traveled faster than 3 m/s.
The ball traveled at a constant speed of 3 m/s.
The ball traveled at a constant speed of 3 m/s.
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Answers
GPT-4o mini
To analyze the statements based on the given information—that a ball travels down a 3 m ramp with an average speed of 3 m/s—let's break down each statement:
1. **It took the ball 3 s to reach the halfway point down the ramp.**
- If the average speed is 3 m/s for 3 m, the total time taken would be 3 m / 3 m/s = 1 s. Therefore, this statement is **false** as the halfway point (1.5 m) would have been reached in less time.
2. **The ball never went faster than 3 m/s.**
- The average speed is 3 m/s, but this does not mean the ball could not have exceeded this speed at certain points. Therefore, this statement is **false**.
3. **At a certain point, the ball traveled faster than 3 m/s.**
- Since the average speed is 3 m/s, it is possible that the ball accelerated and traveled faster than 3 m/s at certain points along the ramp. Therefore, this statement is **potentially true**.
4. **The ball traveled at a constant speed of 3 m/s.**
- For the average speed to be 3 m/s, the ball does not have to maintain that speed at all times; it can vary its speed. Thus, this statement is **false**.
Based on this analysis, the statement that **must be true** is:
**At a certain point, the ball traveled faster than 3 m/s.**
1. **It took the ball 3 s to reach the halfway point down the ramp.**
- If the average speed is 3 m/s for 3 m, the total time taken would be 3 m / 3 m/s = 1 s. Therefore, this statement is **false** as the halfway point (1.5 m) would have been reached in less time.
2. **The ball never went faster than 3 m/s.**
- The average speed is 3 m/s, but this does not mean the ball could not have exceeded this speed at certain points. Therefore, this statement is **false**.
3. **At a certain point, the ball traveled faster than 3 m/s.**
- Since the average speed is 3 m/s, it is possible that the ball accelerated and traveled faster than 3 m/s at certain points along the ramp. Therefore, this statement is **potentially true**.
4. **The ball traveled at a constant speed of 3 m/s.**
- For the average speed to be 3 m/s, the ball does not have to maintain that speed at all times; it can vary its speed. Thus, this statement is **false**.
Based on this analysis, the statement that **must be true** is:
**At a certain point, the ball traveled faster than 3 m/s.**