You are riding a rollercoaster in an amusement park that reaches a maximum height of 25 m and a minimum of 7 m from the ground. The first minimum height occurs 0.15 s after starting the ride, and the first maximum height occurs at 0.45 s (as seen by the graph on the right). a. State the amplitude, period, vertical displacement, and your minimum and maximum height above the ground as the ride -04 10 (0.15,7) (0.45, 25) v progresses b. Determine the equation of the sinusoidal function that represent your height above the ground over time as the ride progresses. c. Determine the domain and range of the function. d. What is your height above the ground 0.7 seconds after being on the ride?
You are riding a rollercoaster in an amusement park that reaches a maximum height of 25 m and a minimum of 7 m from the ground. The first minimum height occurs 0.15 s after starting the ride, and the first maximum height occurs at 0.45 s (as seen by the graph on the right). a. State the amplitude, period, vertical displacement, and your minimum and maximum height above the ground as the ride -04 10 (0.15,7) (0.45, 25) v progresses b. Determine the equation of the sinusoidal function that represent your height above the ground over time as the ride progresses. c. Determine the domain and range of the function. d. What is your height above the ground 0.7 seconds after being on the ride?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:You are riding a rollercoaster in an
amusement park that reaches a
maximum height of 25 m and a minimum
of 7 m from the ground. The first
minimum height occurs 0.15 s after
starting the ride, and the first maximum
height occurs at 0.45 s (as seen by the
graph on the right).
a. State the amplitude, period,
vertical displacement, and your
minimum and maximum height
above the ground as the ride
04
-0.2
25
PO
-10
-5 (0.15,7)
02
0.4
(0.45, 25)
0.6
0.8
progresses
b. Determine the equation of the sinusoidal function that represent your height above
the ground over time as the ride progresses.
c. Determine the domain and range of the function.
d. What is your height above the ground 0.7 seconds after being on the ride?
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