1. Derivative Examples 2 Example 3
Complete the velocity vs. time and acceleration vs. time graphs for an object whose motion results in the position vs. time graph below.

2. Derivative Examples 2 Example 3
Complete the velocity vs. time and acceleration vs. time graphs for an object whose motion results in the position vs. time graph below.

3. The second derivative of the position with respect to time
Derivative Examples 2
Example 3
Complete the velocity vs. time and acceleration vs. time graphs for an object whose motion results in the position vs. time graph below.
The second derivative of the position with respect to time

4. Derivative Examples 2 Example 3
Complete the velocity vs. time and acceleration vs. time graphs for an object whose motion results in the position vs. time graph below.

5. Derivative Examples 2
Example 4

6. Derivative Examples 2
Example 4 continued

7. Derivative Examples 2 Example 4 continued
Notice: Not the simple average of (a) since the velocity function is nonlinear and the rate of change of the velocity is non-constant.
Part (a)

8. Derivative Examples 2 Example 4 continued
Notice: This is the simple average of (b) since the acceleration function is linear so that the rate of change of the acceleration is constant.
Part (b)