A college basketball team had a photographer take time-lapsed photos of a free throw to get measurements for the distance from the free throw line and the height of the basketball during the free throw. The following measurements were recorded from the photos: Distance (feet) Height (feet) 0 4 2 8.4 6 12.1 9 14.2 12 13.2 13 10.5 15 9.8 a. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to decimal places. b. Using this function what is the approximate maximum height of the ball?
A college basketball team had a photographer take time-lapsed photos of a free throw to get measurements for the distance from the free throw line and the height of the basketball during the free throw. The following measurements were recorded from the photos: Distance (feet) Height (feet) 0 4 2 8.4 6 12.1 9 14.2 12 13.2 13 10.5 15 9.8 a. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to decimal places. b. Using this function what is the approximate maximum height of the ball?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. A college basketball team had a photographer take time-lapsed photos of a free throw
to get measurements for the distance from the free throw line and the height of the
basketball during the free throw.
The following measurements were recorded from the photos:
Distance
(feet)
Height
(feet)
0
4
2
8.4
6
12.1
9
14.2
12
13.2
13
10.5
15
9.8
a. Find the quadratic equation for the relationship of the horizontal distance
and the height of the ball. Round to decimal places.
b. Using this function what is the approximate maximum height of the ball?
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