2. A section of rollercoaster can be modelled by h(x)=- 1 -x(x³- 3-56 x²+896x-4096) where ' Χ 400 is the horizontal distance and 0≤x≤32 h is the height relative to the platform, with all measurements in meters. (a) (i) Find the value of h(8) and h(16) . (ii) Hence, factorize h(x) completely. (b) Sketch the graph of y=h(x) and determine the number of times that the train descends in this ride. Explain your answers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2. A section of rollercoaster can be modelled by h(x)=-
1
-x(x³-
3-56 x²+896x-4096) where
'
Χ
400
is the horizontal distance and 0≤x≤32 h is the height relative to the platform, with all
measurements in meters.
(a)
(i) Find the value of h(8) and h(16) .
(ii) Hence, factorize h(x) completely.
(b) Sketch the graph of y=h(x) and determine the number of times that the train descends in this
ride. Explain your answers.
Transcribed Image Text:2. A section of rollercoaster can be modelled by h(x)=- 1 -x(x³- 3-56 x²+896x-4096) where ' Χ 400 is the horizontal distance and 0≤x≤32 h is the height relative to the platform, with all measurements in meters. (a) (i) Find the value of h(8) and h(16) . (ii) Hence, factorize h(x) completely. (b) Sketch the graph of y=h(x) and determine the number of times that the train descends in this ride. Explain your answers.
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