Question
The speed of an object when it strikes the ground is called the impact speed.
This table shows the impact speed of a metal disk when it is dropped from various heights.
What conclusion do the data support about impact speed and the height that an object is dropped?
Responses
Impact speed is not affected by height.
Impact speed is not affected by height.
Impact speed decreases with height, but never reaches 0 m/s.
Impact speed decreases with height, but never reaches 0 m/s.
Impact speed increases by 4.9 m/s for every 1 m increase in height.
Impact speed increases by 4.9 m/s for every 1 m increase in height.
Impact speed increases with height, but only up to a certain maximum speed.
Impact speed increases with height, but only up to a certain maximum speed.
Height of Disk (m) Speed on Impact (m/s)
1.0 4.9
2.0 9.8
3.0 14.7
4.0 17.3
5.0 17.4
This table shows the impact speed of a metal disk when it is dropped from various heights.
What conclusion do the data support about impact speed and the height that an object is dropped?
Responses
Impact speed is not affected by height.
Impact speed is not affected by height.
Impact speed decreases with height, but never reaches 0 m/s.
Impact speed decreases with height, but never reaches 0 m/s.
Impact speed increases by 4.9 m/s for every 1 m increase in height.
Impact speed increases by 4.9 m/s for every 1 m increase in height.
Impact speed increases with height, but only up to a certain maximum speed.
Impact speed increases with height, but only up to a certain maximum speed.
Height of Disk (m) Speed on Impact (m/s)
1.0 4.9
2.0 9.8
3.0 14.7
4.0 17.3
5.0 17.4
Answers
GPT-4o mini
Based on the table provided, the conclusion that the data supports is:
**Impact speed increases by 4.9 m/s for every 1 m increase in height.**
This conclusion is deduced from the observed pattern where the impact speed increases as the height increases, particularly for the first few heights. Specifically, the data shows:
- From 1.0 m to 2.0 m (an increase of 1.0 m), the speed increases from 4.9 m/s to 9.8 m/s, which is an increase of 4.9 m/s.
- From 2.0 m to 3.0 m (an increase of another 1.0 m), the speed increases from 9.8 m/s to 14.7 m/s, also an increase of 4.9 m/s.
- The increase from 3.0 m to 4.0 m is slightly less than 4.9 m/s (14.7 m/s to 17.3 m/s), and from 4.0 m to 5.0 m (17.3 m/s to 17.4 m/s), the increase is only 0.1 m/s.
While the relationship appears to be roughly linear for the first three heights, the increases begin to diminish after that point, suggesting that impact speed may approach a limit due to factors like air resistance.
In summary, while increases in height generally lead to increases in impact speed, the consistent value of 4.9 m/s for the first few measurements supports the idea that there is a direct relationship between height and impact speed initially. However, at greater heights, this relationship may not hold as strongly due to diminishing returns on speed.
**Impact speed increases by 4.9 m/s for every 1 m increase in height.**
This conclusion is deduced from the observed pattern where the impact speed increases as the height increases, particularly for the first few heights. Specifically, the data shows:
- From 1.0 m to 2.0 m (an increase of 1.0 m), the speed increases from 4.9 m/s to 9.8 m/s, which is an increase of 4.9 m/s.
- From 2.0 m to 3.0 m (an increase of another 1.0 m), the speed increases from 9.8 m/s to 14.7 m/s, also an increase of 4.9 m/s.
- The increase from 3.0 m to 4.0 m is slightly less than 4.9 m/s (14.7 m/s to 17.3 m/s), and from 4.0 m to 5.0 m (17.3 m/s to 17.4 m/s), the increase is only 0.1 m/s.
While the relationship appears to be roughly linear for the first three heights, the increases begin to diminish after that point, suggesting that impact speed may approach a limit due to factors like air resistance.
In summary, while increases in height generally lead to increases in impact speed, the consistent value of 4.9 m/s for the first few measurements supports the idea that there is a direct relationship between height and impact speed initially. However, at greater heights, this relationship may not hold as strongly due to diminishing returns on speed.