To determine the speed of the toy car after 5.0 seconds, we can use the data from the graph description provided.
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Position at 5.0 seconds: The position at 6.5 seconds is 1.5 meters. Since the line graph shows a steady increase, we can assume a linear relationship.
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Calculating the speed:
- First, find the position at 0 seconds (which is 0 meters) and at 6.5 seconds (which is 1.5 meters).
- The distance traveled in that time is 1.5 meters - 0 meters = 1.5 meters.
- The time taken is 6.5 seconds - 0 seconds = 6.5 seconds.
- Speed (average) can be calculated as: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{1.5 \text{ meters}}{6.5 \text{ seconds}} \approx 0.231 \text{ meters per second} \]
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For a more specific calculation, to find the speed at exactly 5.0 seconds, we can observe that since the line is linear, we can interpolate:
- The position at 6.5 seconds is 1.5 meters. We can determine that:
For 5.0 seconds:
- As a proportion of the total time: \[ \frac{5.0}{6.5} \text{ of the distance } 1.5 \text{ meters} \] \[ \text{Position at 5.0 seconds} \approx 1.5 \times \frac{5.0}{6.5} \approx 1.15 \text{ meters} \]
- The position at 6.5 seconds is 1.5 meters. We can determine that:
For 5.0 seconds:
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Now that we established the position after 5.0 seconds is roughly 1.15 meters, we can find the speed at that point:
- Distance traveled in this case would be from 0 to 1.15 meters, taking 5.0 seconds: \[ \text{Speed at 5.0 seconds} = \frac{1.15 \text{ meters}}{5.0 \text{ seconds}} \approx 0.23 \text{ meters per second} \]
Given the answer choices, the closest option to our calculated speed (0.23 m/s) is:
A. 0.2 meters per second.
1 answer