Applications of Quadratics.notebook
September 13, 2016
Warm Up
1. A projectile was fired upward with an initial
velocity of 60 feet per second from a height
of 150 feet.
A) What is the maximum height of the object?
B) When will the object reach a height of
125 feet?
C) When does the object hit the ground?
D) How high is the object at 4 seconds?
Oct 7­6:26 AM
Example 3.
The Empire State Building is 1250 feet tall. A penny is dropped from the top of the building.
1. How high is the penny after 3.5 seconds?
2. When will the penny be 500 feet above the ground?
3. When will it reach the ground?
Oct 7­6:26 AM
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Applications of Quadratics.notebook
September 13, 2016
MORE PRACTICE:
1. How long does it take an egg container
to hit the ground when dropped from a
height of 100 feet?
2. A bird flying at a height of 30 feet is carrying a shellfish. The bird drops the shellfish to break it and get the food inside. How long does it take for the shellfish to hit the ground?
Oct 7­6:26 AM
Other Applications of Quadratics Path (Trajectory) of Launched Object NOTE: The equation will be given.
NOW!!! x is NOT time!!!
• x is the distance the object has traveled. • y is STILL the height the object has traveled.
Oct 7­6:26 AM
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Applications of Quadratics.notebook
September 13, 2016
Other Applications of Quadratics NOTE: The equation will be given.
Example 4: Path of an Object
The height of a baseball is modeled by the
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function h = -.01x + 1.22x + 3, where x is the
horizontal distance in feet from the point of
impact with the bat, and h is the height of the
ball in feet.
A) What is the maximum height that the ball
will reach?
B) At what distance from the batter will the
ball hit the ground?
Oct 7­6:26 AM
The Gateway Arch in St. Louis was built in 1965. It is the tallest monument in the United States. The arch can be modeled with the function
y = −0.00635x2 + 4x, where x and y are in feet.
a. How high above the ground is the tallest point of the arch?
b. How far apart are the legs of the arch at their bases?
Oct 7­6:26 AM
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