Find maximum height of ball
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Lesson Summary:
In this lesson, Julie Harland demonstrates how to use the vertex point of a parabola to find the maximum height of a ball thrown in the air given its initial speed. She explains that the height of the ball can be represented by a parabolic function with time as the variable. By finding the vertex point of the parabola, which is the maximum height, she shows how to calculate the height of the ball at any given time. The lesson concludes with a demonstration of how to use this method to find when the ball hits the ground again.
Lesson Description:
This video uses the vertex point of a parabola to find the maximum height of ball thrown in the air given its initial speed.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How can you use quadratic equations in real life?
- What is an application of parabolas?
- How can you find the maximum height of a ball thrown in the air using the vertex of a parabola?
- How can you find the vertex of a parabola?
- If Paul throws a ball upward with an initial speed of 48 feet per second, and its height h in feet after t seconds is given by the function h(t) = -16t^2 + 48t, what is the maximum height of the ball?
- How do you find the vertex of the equation h(t) = -16t^2 + 48t?
- What is the formula for finding the x-value of the vertex of a parabola?
- How can you figure out when a ball hits the ground if it is thrown into the air?
- How can you figure out when h(t) = -16t^2 + 48t equals 0?
- How do you solve -16t^2 + 48t = 0?
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Staff Review
This lesson shows an application problem for parabolas in which you will learn how to find the maximum height or vertex of the parabola. This is a great example application problem for a quadratic equation. You will also learn how to find out when the ball hits the ground. All steps and concepts are explained in this example problem.
