A skydiver's altitude decreased from 1815 to 640 metres in 25 seconds. At what rate did her altitude change?

To find the rate at which the skydiver's altitude changed, we can use the formula for the rate of change:

\[ \text{Rate of change} = \frac{\text{Change in altitude}}{\text{Time interval}} \]

Given:
- Initial altitude = 1815 meters
- Final altitude = 640 meters
- Time interval = 25 seconds

First, calculate the change in altitude:

\[ \text{Change in altitude} = \text{Initial altitude} - \text{Final altitude} \]

\[ \text{Change in altitude} = 1815 \, \text{m} - 640 \, \text{m} = 1175 \, \text{m} \]

Now, use this value to find the rate of change:

\[ \text{Rate of change} = \frac{1175 \, \text{m}}{25 \, \text{s}} = 47 \, \text{m/s} \]

The rate at which the skydiver's altitude changed is \( 47 \, \text{m/s} \).

Would you like more details or have any questions about this problem? Here are some questions you might consider asking next:

1. What is the difference between speed and velocity?
2. How can we calculate the distance fallen if the rate of change varies over time?
3. What factors can affect the rate of change in altitude for a skydiver?
4. How does air resistance influence a skydiver's descent?
5. Can you explain the concept of terminal velocity?

**Tip:** Always ensure to use consistent units when calculating rates of change or other related quantities.

Explore how to calculate the rate of change in altitude from 1815 meters to 640 meters in 25 seconds. Understand the rate of change formula and linear equations used in this problem. Suitable for Grades 9-12.

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