# Explain how the first part of the Fundamental Theorem of Calculus was used to solve part of the created problem.

Create a real-world science problem that requires the use of both parts of the Fundamental Theorem of Calculus to solve by doing the following: (A physics class is throwing an egg off the top of their gym roof. The egg is thrown such that its velocity over the domain of [0, 4] from a height of 256 feet. Find the distance between the interval [1,2].)

1. Provide a description of each of the following within the context of the selected real-world application using the appropriate units: a. Dependent variable: b. Independent variable: c. Domain: d. Range:

2. Explain the specific issue that the created problem is addressing.

3. The created problem should require use of the first part of the Fundamental Theorem of Calculus to solve that includes the following components: -State the first part of the Fundamental Theorem of Calculus.

a. Explain how the first part of the Fundamental Theorem of Calculus was used to solve part of the created problem.

4. The created problem should require use of the second part of the Fundamental Theorem of Calculus to solve that includes the following components: -State the second part of the Fundamental Theorem of Calculus.

a. Explain how the second part of the Fundamental Theorem of Calculus was used to solve part of the created problem.

5. Provide a solution to the created problem using both parts of the Fundamental Theorem of Calculus.

6. Provide an answer key that includes all relevant mathematical justifications for each step within the solution to the problem. 