To determine which table accurately reflects the motion of a ball traveling at a constant speed of 6 meters per second, we can calculate the distance the ball would travel at this speed over each given time interval.
The formula for distance (d) is:
\[ d = \text{speed} \times \text{time} \]
In this case, the speed is 6 meters per second.
Now, let's calculate the distance for each time interval:
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At 2 seconds: \[ d = 6 , \text{m/s} \times 2 , \text{s} = 12 , \text{meters} \]
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At 4 seconds: \[ d = 6 , \text{m/s} \times 4 , \text{s} = 24 , \text{meters} \]
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At 6 seconds: \[ d = 6 , \text{m/s} \times 6 , \text{s} = 36 , \text{meters} \]
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At 8 seconds: \[ d = 6 , \text{m/s} \times 8 , \text{s} = 48 , \text{meters} \]
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At 10 seconds: \[ d = 6 , \text{m/s} \times 10 , \text{s} = 60 , \text{meters} \]
Now, let's compare these results with the tables:
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Table 1:
- Time (s): 2, 4, 6, 8, 10
- Distance (m): 12, 24, 36, 48, 60 (Valid)
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Table 2:
- Time (s): 2, 4, 6, 8, 10
- Distance (m): 12, 20, 22, 30, 32 (Not valid)
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Table 3:
- Time (s): 2, 4, 6, 8, 10
- Distance (m): 6, 12, 24, 36, 42 (Not valid)
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Table 4:
- Time (s): 2, 4, 6, 8, 10
- Distance (m): 24, 34, 44, 54, 64 (Not valid)
The only table that correctly shows the distances the ball would travel at a constant speed of 6 meters per second over the 10-second period is Table 1.