1. PRESENTED BY DANIEL LIN Mock Examination !!! 8. Flying Objects

2. Visualize – In Soviet Russia, guns shoot bullets. v(x), the speed of the bullet as a function of its position in the wall. L, the path length of the bullet within the wall. L

3. Visualize – Initial Conditions Moment of Entry Speed at Entry Moment of Exit Speed at Exit

4. Calculations Acceleration function: Separable! Use the initial conditions to find k! MAGIC !

5. Calculations Two initial conditions: And …

6. Calculations We now have the velocity function with respect to time… NOT GOOD ENOUGH! We need

7. More calculations… With every questions that you think you know the answer to. Ken wants you to learn modesty.

8. More calculations… Ken’s “Hint” Re-Write the original acceleration function: Separable & Solve

9. Almost done We already know When position x(0) = 0, the velocity is Solve for c MAGIC !

10. And v(x) is… Plug in the constant: Now we need to find L (The distance traveled during that 0.01 seconds.) We know the bullet exits the wall at

11. Conclusion Wouldn’t you like to know? That pakalolo plant ready for harvest?