1. College Algebra Math 130 Amy Jones Lewis

2. Homework Review  10x 2 – 1 = 0  -x 2 + 8x = 2

3. Punkin’ Chunkin’  Every year, the city of Millsboro, Delaware, holds a competition called the World Championship Punkin’ Chunkin’, which is a pumpkin throwing competition. Participants build a pumpkin catapult that hurls a pumpkin. The catapult that hurls the pumpkin the farthest is the winner.

4. Punkin’ Chunkin’ http://www.youtube.com/watch?v=559yuhpsd4Y&feature=r elated

5. Punkin’ Chunkin’  You can model the motion of a pumpkin that is released by a catapult by using the vertical motion model y = -16t 2 + vt + h, where  t is the time that the object has been moving in seconds  v is the initial velocity of the object in ft per sec.  h is the initial height of the object in feet  y is the height of the object in feet at time t seconds.

6. Punkin’ Chunkin’  Suppose that a catapult is designed to hurl a pumpkin from a height of 30 feet at an initial velocity of 212 feet per second.  Write a quadratic function that models the height of the pumpkin in terms of time.

7. Punkin’ Chunkin’  Write an equation that you can use to determine when the pumpkin will hit the ground.  Solve the equation.  Do both solutions have meaning in the problem situation?

8. Punkin’ Chunkin’  What is the height of the pumpkin three seconds after it is launched from the catapult?  What is the height of the pumpkin eight seconds after it is launched from the catapult?  What is the height of the pumpkin 20 seconds after it is launched from the catapult?

9. Punkin’ Chunkin’  When is the pumpkin at its highest point?  What is the maximum height of the pumpkin?  When is the pumpkin at a height of 500 feet?  Is your answer confirmed by your graph?

10. Homework Next Class: Wednesday, November 24