Question
Note that a change can be an Increase or a decrease. For an Increase, use a positive number. For a decrease, use a negative number. \( \begin{array}{l}\text { (a) A tram moved upward } 9 \text { meters per second for } 72 \text { seconds. What was the total change in the } \\ \text { tram's elevation? } \\ \text { (b) In a lab, a substance was cooled by } 20^{\circ} \mathrm{C} \text { over a period of } 10 \text { hours at a constant rate. What } \\ \text { was the change in temperature each hour? } \\ \square{ }^{\circ} \mathrm{C}\end{array} \)
Ask by Bowman Santiago. in the United States
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- For part (a), the tram's elevation increased by 648 meters.
- For part (b), the temperature decreased by 2°C each hour.
Solution
1. For part (a):
- The tram’s speed is \(9 \, \text{meters per second}\) and it traveled for \(72\) seconds.
- The total change in elevation is calculated as:
\[
9 \times 72 = 648 \, \text{meters.}
\]
- Since the tram moved upward, the change is positive: \(+648\) meters.
2. For part (b):
- The temperature decreased by \(20^\circ \text{C}\) over \(10\) hours.
- The change in temperature per hour is given by:
\[
\frac{-20}{10} = -2^\circ \text{C per hour.}
\]
- The negative sign indicates a decrease in temperature.
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Simplify this solution Extra Insights
The total change in the tram's elevation can be found by multiplying its speed by the time it moved. So, if the tram moved upward at 9 meters per second for 72 seconds, the total change in elevation is \(9 \times 72 = 648\) meters. Therefore, the total change in elevation is +648 meters. For the cooling substance, when it cooled down by 20°C over 10 hours, you can determine the hourly change by dividing the total change by the time taken. Hence, the change in temperature each hour is \( \frac{-20}{10} = -2 \) degrees Celsius. So, the change in temperature per hour is -2°C.
