Real World Applications – Algebra I
What’s your vertical jump height? How can we represent this as a quadratic function?
One of the things that basketball players love to show off and brag about is their vertical jump height. If you walk past a basketball hoop, there will always be someone walking past or before playing basketball to jump and try to reach the rim. Some make it, and some don’t.
Vertical jump height is discussed quite frequently among NBA players and fans. Vertical jump height refers to the distance between the highest point a person can reach after a big jump and the standing reach height.
What do these numbers mean?
This means that at 0 and 0.84 seconds Noel’s vertical jump height is 0ft. Why are there two numbers?
The two numbers represent the time that Noel started at 0 seconds and the time that it took for him to reach the ground after jumping.
For the sake of this activity, we’re going to look at the quadratic equation if someone were to find their vertical jump height if the person were jumping off a bench. How do you think the quadratic function would change?
Let’s say Noel jumped off a bench 1ft off the ground and had the same jump height. How would the quadratic equation that represents his jump height change?
Try graphing the two quadratic equations and see what the similarities and differences are.
Advanced: Try finding your own vertical jump height and determine with your friends when you reach the highest height and what time you land. Using this information, try to find the quadratic equation that best represents your vertical jump height over time.