Problem #3: Air Show Planner The Snowbirds are an air demonstration team that put together air shows that will fly over events. One of their stunts Include a vertical loop. To ensure that the loop is done correctly, every member of the team must precisely follow the path as set out prior to the start of the show. The pilots need your help. The glven table shows the altitude and time data for the loop. a) Create a fully labelled graph of the physical data given the table. Time Altitude (m) 3000 (s) 1 2000 1268 1000 1268 2000 6. 3000 7 4000 8. 4732 9. 5000 10 4732 11 4000 12 3000 b) Use this information to determine a sinusoidal function that models the altitude, h(t) metres as a function of time, t seconds.

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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b) Use this Information to determine a sinusoldal function that models the altitude, h(t) metres as a
function of time, t seconds.
c) On one of the show days, you notice there is a strong wind. The resistance created by the wind will
double the all of the times listed in the table above. What part of the equation does this change in part
b)? Explain your answer thoroughly.
MCR3U Culminating Task
Page 3
Transcribed Image Text:b) Use this Information to determine a sinusoldal function that models the altitude, h(t) metres as a function of time, t seconds. c) On one of the show days, you notice there is a strong wind. The resistance created by the wind will double the all of the times listed in the table above. What part of the equation does this change in part b)? Explain your answer thoroughly. MCR3U Culminating Task Page 3
10.docx
Problem #3: Air Show Planner
The Snowbirds are an air demonstration team that put together air shows that will fly over events. One of
their stunts include a vertical loop. To ensure that the loop is done correctly, every member of the team must
precisely follow the path as set out prior to the start of the show. The pilots need your help. The given table
shows the altitude and time data for the loop.
a) Create a fully labelled graph of the physical data given the table.
Time
Altitude
(s)
(m)
3000
1
2000
1268
3
1000
4
1268
5.
2000
3000
4000
8.
4732
5000
10
4732
11
4000
12
3000
b) Use this information to determine a sinusoidal function that models the altitude, h(t) metres as a
function of time, t seconds.
Page
3 1
Transcribed Image Text:10.docx Problem #3: Air Show Planner The Snowbirds are an air demonstration team that put together air shows that will fly over events. One of their stunts include a vertical loop. To ensure that the loop is done correctly, every member of the team must precisely follow the path as set out prior to the start of the show. The pilots need your help. The given table shows the altitude and time data for the loop. a) Create a fully labelled graph of the physical data given the table. Time Altitude (s) (m) 3000 1 2000 1268 3 1000 4 1268 5. 2000 3000 4000 8. 4732 5000 10 4732 11 4000 12 3000 b) Use this information to determine a sinusoidal function that models the altitude, h(t) metres as a function of time, t seconds. Page 3 1
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