Situation: Chris, and her friends enjoy roller coasters. Whenever a new roller coaster opens near their community, they try to be among the first to ride. One Saturday, they decide to ride a new coaster built in Marikina Riverbanks. While waiting in line, Chris notices that part of this coaster resembles the graph of a polynomial function that they have been studying in their Math 10 class. Irape Sane Eraturind igan gphipre phate wadite 1. The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the coaster can be determined by h(t) = 0.3-5t +21t, where t is the time in seconds and h is the height in feet. Classify this polynomial by degree and by number of terms. 2. Graph the polynomial function where the height (h(t)) of the roller coaster is located on the y-axis and t is on the x-axis. Label your graph correctly. Use a graphing paper Table of Values: h(t)=0.3r-5t+21t %3D t0 1 h(t) 7 8 9 4.9 1.6 10 10 4 3 24.4 5 6 17.5 2 3. Find the height of the coaster at t = 0 seconds. Explain why this answer makes sense.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Situation:
Chris, and her friends enjoy roller
coasters. Whenever a new roller coaster opens
near their community, they try to be among the
first to ride.
One Saturday, they decide to ride a new
coaster built in Marikina Riverbanks. While
waiting in line, Chris notices that part of this
coaster resembles the graph of a polynomial
function that they have been studying in their
Irage Sane Enduried ingam phippr phate reditte
Math 10 class.
1. The brochure for the coaster says that, for the first 10 seconds of the ride,
the height of the coaster can be determined by h(1) = 0.3-5t +21t, where
t is the time in seconds and h is the height in feet. Classify this polynomial
by degree and by number of terms.
2. Graph the polynomial function where the height (h(t)) of the roller coaster
is located on the y-axis and t is on the x-axis. Label your graph correctly.
Use a graphing paper
Table of Values: h(t) = 0.3t - 5t + 21t
1
7
8
10
h(t)
24.4
17.5
10
4.9
1.6
3. Find the height of the coaster at t = 0 seconds. Explain why this answer
makes sense.
4. Evaluate h(60). Does this answer make sense? Is there a roller coaster
ride at this height? CLEARLY EXPLAIN your reasoning.
(Hint.: Mt. Everest is 29,028 feet tall.)
Transcribed Image Text:Situation: Chris, and her friends enjoy roller coasters. Whenever a new roller coaster opens near their community, they try to be among the first to ride. One Saturday, they decide to ride a new coaster built in Marikina Riverbanks. While waiting in line, Chris notices that part of this coaster resembles the graph of a polynomial function that they have been studying in their Irage Sane Enduried ingam phippr phate reditte Math 10 class. 1. The brochure for the coaster says that, for the first 10 seconds of the ride, the height of the coaster can be determined by h(1) = 0.3-5t +21t, where t is the time in seconds and h is the height in feet. Classify this polynomial by degree and by number of terms. 2. Graph the polynomial function where the height (h(t)) of the roller coaster is located on the y-axis and t is on the x-axis. Label your graph correctly. Use a graphing paper Table of Values: h(t) = 0.3t - 5t + 21t 1 7 8 10 h(t) 24.4 17.5 10 4.9 1.6 3. Find the height of the coaster at t = 0 seconds. Explain why this answer makes sense. 4. Evaluate h(60). Does this answer make sense? Is there a roller coaster ride at this height? CLEARLY EXPLAIN your reasoning. (Hint.: Mt. Everest is 29,028 feet tall.)
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