1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one revolution in 20 minutes. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c e R. p 10m Find the values of a, b and c. [

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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1. A Ferris wheel with diameter 110 metres rotates at a constant speed.
The lowest point on the wheel is 10 metres above the ground, as
shown on the following diagram. P is a point on the wheel. The
wheel starts moving with P at the lowest point and completes one ↑
revolution in 20 minutes.
7.
110m
The height, h metres, of P above the ground after t minutes is
given by h(t) = a cos(bt) + c, where a, b, c E R.
%3D
me T10m
Find the values of a, b and c. [
ehom S)obi dgil bns sbb wol neswrad bigied ni sonsolib odf bhi
lo sulev ad brit
re maKims
2. Consider the graph of the function f (x) = 2 sin x,
0sx< 2n. The graph of f intersects the line y = -1
exactly twice, at point A and point B. This is shown in the
following diagram.
to sulev bni b
Consider the graph of g(x) = 2 sin px, 0 s x < 21, where
p> 0.
y =-1
Find the greatest value of p such that the graph of g does
not intersect the line y = -1.
AY
bai
Transcribed Image Text:1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the wheel is 10 metres above the ground, as shown on the following diagram. P is a point on the wheel. The wheel starts moving with P at the lowest point and completes one ↑ revolution in 20 minutes. 7. 110m The height, h metres, of P above the ground after t minutes is given by h(t) = a cos(bt) + c, where a, b, c E R. %3D me T10m Find the values of a, b and c. [ ehom S)obi dgil bns sbb wol neswrad bigied ni sonsolib odf bhi lo sulev ad brit re maKims 2. Consider the graph of the function f (x) = 2 sin x, 0sx< 2n. The graph of f intersects the line y = -1 exactly twice, at point A and point B. This is shown in the following diagram. to sulev bni b Consider the graph of g(x) = 2 sin px, 0 s x < 21, where p> 0. y =-1 Find the greatest value of p such that the graph of g does not intersect the line y = -1. AY bai
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