Math In Basketball Lesson Page 23
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31Math in Basketball: Try other basketball challenges
ANSWER KEY
In this challenge, you get to choose a new set of player stats, then use the 3 key variables to
figure out the maximum height the ball reaches during a free throw shot.
(This activity can also be completed online. Go to , click on “The
Challenges,” then scroll down and click on “Math in Basketball: Try other challenges.”)
FAST BREAK FACTS: KNOW THE STATS
1. Identify what you already know. Look at the Fast Break Facts on the last page of this
handout for information about the 3 key variables and select a player’s stats from the
choices below:
• The Acceleration of Gravity: ________
• Initial Vertical Velocity (Select one): ___ 20 ft/sec ___22 ft/sec __ 24 ft/sec
• Release Height (Select one): ____ 5 ft ____ 6 ft ____ 8 ft
h
t
Combine these 3 key variables used to calculate the ball’s height,
, at a given time,
, by
setting up an equation to get started.
t
h(
) = ____________________________
The answer will vary depending on the stats chosen by the student, but will follow this model:
2
h(t) = -16t
+ v
t + h
(Note: Initial Vertical Velocity = v
; Release Height = h
)
0
0
0
0
For example, if the student selected Initial Vertical Velocity = 5 ft and Release Height = 20 ft/sec, the
2
correct equation would be h(t) = -16t
+ 20t + 5.
AT WHAT TIME(S) DOES THE BALL REACH 10 FEET?
2. Plan it out. What strategy will you use? Select one or more representations, such as your
t
equation or a graph (found on the last page), to calculate the value(s) of
when the ball
reaches a height of 10 feet.
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