D23 Punkin Chunkin
Download
Report
Transcript D23 Punkin Chunkin
College Algebra
Math 130
Amy Jones Lewis
Homework Review
10x2 – 1 = 0
-x2 + 8x = 2
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.
Punkin’ Chunkin’
http://www.youtube.com/watch?v=559yuhpsd4Y&feature=r
elated
Punkin’ Chunkin’
You can model the motion of a pumpkin that is
released by a catapult by using the vertical
motion model y = -16t2 + 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.
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.
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?
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?
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?
Homework
Next Class: Wednesday, November 24