Ex: A paint spot X lies on the outer rim of the wheel of a paddle-steamers. The wheel has radius 3 m. It rotates clockwise at a constant rate and X is seen entering the water every 4 seconds. H is the distance of X above the bottom of the boat. At time t=0, X is m in the position shown. a) Find a sine model for H in the form H(t)=asin(bt).d b) Is X above or below the water after 6.5 seconds? 3m water level m bottom of the boat

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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Ex: A paint spot X lies on the outer rim
of the wheel of a paddle-steamers. The
wheel has radius 3 m. It rotates
clockwise at a constant rate and X is
seen entering the water every 4
seconds. H is the distance of X above
the bottom of the boat. At time t=0, X is Hm
in the position shown.
a) Find a sine model for H in the form
H(t)=asin(bt) +d
b) Is X above or below the water after
6.5 seconds?
3m
water level
m
bottom of the boat
Transcribed Image Text:Ex: A paint spot X lies on the outer rim of the wheel of a paddle-steamers. The wheel has radius 3 m. It rotates clockwise at a constant rate and X is seen entering the water every 4 seconds. H is the distance of X above the bottom of the boat. At time t=0, X is Hm in the position shown. a) Find a sine model for H in the form H(t)=asin(bt) +d b) Is X above or below the water after 6.5 seconds? 3m water level m bottom of the boat
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