Answer:
38 m/s
Explanation:
We are given that
D represent Rachel's remaining distance( in meters ) as a function of time is given by
![D=-38t+220](https://img.qammunity.org/2020/formulas/mathematics/high-school/t0g0nnnnayq5e85jkyehsy12t5tdk2qd26.png)
We have to find the Rachel's speed.
We know that
![Velocity=(ds)/(dt)](https://img.qammunity.org/2020/formulas/mathematics/high-school/l3dj27axr25ww3r740a15hux4ewoufo320.png)
Substitute the values then we get
![v=(d(-38t+220))/(dt)=-38 m/s](https://img.qammunity.org/2020/formulas/mathematics/high-school/kxpeu0f11m45jemsouutwn241i8xw9gim5.png)
![Speed =\mid v\mid](https://img.qammunity.org/2020/formulas/mathematics/high-school/1k6bo36dhah5jd7zurew8vkjona2s64eic.png)
![Speed =\mid -38\mid =38m/s](https://img.qammunity.org/2020/formulas/mathematics/high-school/dcagfmj1q8sw92tesx393bp8w6f8t5nrm8.png)
Hence, the Rachel's speed is given by =38 m/s