Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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How would I find the velocity of this? I’m just stuck on part a

Transcribed Image Text:Modeling a Foul Shot
) Shooting a Foul Shot Overhand When a basketball player shoots a foul shot, the ball follows a parabolic arc.
This arc depends on both the angle and velocity with which the basketball is released. If a person shoots the
basketball overhand from a position 8 feet above the floor, then the path can sometimes be modeled by the
-16x?
parabola
y =
0.43 v2
+1.15x + 8
50
10 ft
15 ft
where v is the velocity of the ball in feet per second, and the locations of the ball are given by the points (x, y).
a)
If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the basketball
have?
b) Using your v from part (a), graph the parabola using Desmos. Plot the point (0,8) where the ball is released
and the point (15, 10) where the basketball hoop is. Does your graph pass through both points?
c) What is the maximum height of the basketball? (Show ALL work)
2) Shooting a Foul Shot Underhand If a person releases a basketball underhand from a position 3 feet above the
floor, it often has a steeper arc than if it is released overhand, and the path sometimes may be modeled by
-16x2
+2.75x + 3
0.117 v2
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