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Parabola in Real Life

Real world applications and problems

Problem 1)Below is a picture of a rainbow that makes a perfect parabola. What is the vetex of the parabola?
Parabola's Vertex
Fly Copter

For the helicopter to fly above the rainbow parabola, how high must the copter fly? (In other words what is the maximum value of the parabola)
Answer


Practice Problems
Problem 2) Joseph threw a wiffle ball out of a window that is four units high. The position of the waffle ball is determined by the parabola y = -x² + 4. At how many feet from the building does the ball hit the ground?
Answer

picture of real world parabola



Problem 3) Down in the street, Eric caught the ball and then he ran to 10 feet away from the base of the building. Eric throws the ball so that its highest point is where the x is on the first floor. What equation represents the path of the ball that Eric threw?

Answer






Problem 4) A ball is dropped from a height of 36 feet. The quadratic equation
d = -t² + 36
provides the distance, d, of the ball, after t seconds. After how many seconds, does the ball hit the ground?

Answer




Problem 5) A ball is dropped from a height of 60 feet. The quadratic equation
d = −5t² + 60
provides the distance, d, of the ball, after t seconds. After how many seconds, does the ball hit the ground?

Answer




Problem 6) The height in meters of a projectile at t seconds can be found by the function $$ h(t) = -5t^2 + 40t + 1.2 $$.
Find the height of the projectile 4 seconds after it is launched.
Step 1

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