9. For a school experiment, Nichola recorded the height of a model rocket during its flight. The motion detector stopped working, however, during her experiment. The following data were collected before the malfunction. 8014 Time (s) 0.0 1.0 2.0 3.0 4.0 Height (m) 2.00 19.5 12.0 27.0 24.5 a) The height-time relation is quadratic. Determine an equation for the height-time relation. b) Use the equation you determined for part a) to estimate the height of the rocket at 3.8 s. c) Determine the maximum height of the rocket. When did the rocket reach its maximum height?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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9. For a school experiment, Nichola recorded the height of a model
rocket during its flight. The motion detector stopped working,
however, during her experiment. The following data were collected
before the malfunction.
8014
Time (s)
0.0
1.0
2.0
3.0
4.0
Height (m) 2.00
19.5
27.0
24.5
12.0
a) The height-time relation is quadratic. Determine an equation
for the height-time relation.
b) Use the equation you determined for part a) to estimate the height
of the rocket at 3.8 s.
c) Determine the maximum height of the rocket. When did
the rocket reach its maximum height?
8014
Transcribed Image Text:9. For a school experiment, Nichola recorded the height of a model rocket during its flight. The motion detector stopped working, however, during her experiment. The following data were collected before the malfunction. 8014 Time (s) 0.0 1.0 2.0 3.0 4.0 Height (m) 2.00 19.5 27.0 24.5 12.0 a) The height-time relation is quadratic. Determine an equation for the height-time relation. b) Use the equation you determined for part a) to estimate the height of the rocket at 3.8 s. c) Determine the maximum height of the rocket. When did the rocket reach its maximum height? 8014
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