Math In Basketball Lesson Page 21
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31Answer Key
Math in Basketball: Take the challenge
Strategy B:
You can use the properties of the graph of the equation for h(t) to find the value of t for the vertex or
2
maximum point. For a parabolic function of the form 0 = at
+ bt + c, where a ≠ 0, the value for time (t) is
(- )
represented by the x-coordinate of the vertex
of the parabola.
5. Solve your problem. Show all your steps. You may use the graph on the last page or show
your work in the space below.
Strategy A: Finding the mean between the two times (0.14 + 1.36) ÷ 2 = 0.75
(- ) = (-
) = ( ) =
Strategy B: Using
∗
Your solution: (Round your answer to the nearest hundredth.)
• The time the ball will reach the maximum height is:
¾ or .75 seconds
WHAT IS THE MAXIMUM HEIGHT OF THE BASKETBALL?
6. Plan it out. What strategy will you use? Select one or more representations, such as your
equation or a graph (found on the last page), to calculate the maximum height the ball will
reach on its way to the basket.
Using the value of t, or time, when the ball reaches its maximum height, you can substitute that value into
the equation you set up for h(t) to find the height of the ball at that time, or use graphical representation.
7. Solve your problem. Show all your steps. You may use the graph on the last page or show
your work in the space below.
t = 0.75 seconds
2
h(t) = -16(0.75)
+ 24(0.75) + 7
h(t) = 16 feet
Your solution: (Round your answer to the nearest whole number.)
• The maximum height of the basketball will be at:
16 feet
8. What strategy would you use if you had to determine the maximum height for another
player’s release height and initial vertical velocity stats? If you were going to email Elton
Brand to explain your process, what would you tell him?
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