Parabola in Real Life
Real world applications and problems
The graph of a parabola describes various kinds of every day, real-world objects and events. When you throw a ball or any object for that matter, the path of the object 's flight through the air is a parabola.
Problem 1)Below is a picture of a rainbow that makes a perfect parabola. What is the vetex of the parabola?
Vertex of parabola is (0,40)
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?
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?
Problem 4) A ball is dropped from a height of 36 feet. The quadratic equation
d = -t² + 36provides the distance, d, of the ball, after t seconds. After how many seconds, does the ball hit the ground?
Problem 5) A ball is dropped from a height of 60 feet. The quadratic equation
d = −5t² + 60provides the distance, d, of the ball, after t seconds. After how many seconds, does the ball hit the ground?
d = 0, when 0 = -5t² +60
5t² = 60
t² = 60 ÷5 = 12