A particle's position along a circular path at time t with 0 < is given by x = cos(at) and y = sin(at). (a) Find the distance traveled by the particle over this time interval. NOTE: Enter the exact answer, or round to three decimal places. Distance traveled = VI t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 24E
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A particle's position along a circular path at time t with 0 <t < 3
is given by x = cos(nt) and
y = sin(rt).
(a) Find the distance traveled by the particle over this time interval.
NOTE: Enter the exact answer, or round to three decimal places.
Distance traveled
Transcribed Image Text:A particle's position along a circular path at time t with 0 <t < 3 is given by x = cos(nt) and y = sin(rt). (a) Find the distance traveled by the particle over this time interval. NOTE: Enter the exact answer, or round to three decimal places. Distance traveled
(c) What is the particle's displacement between t = 0 and t = 3?
Displacement
Transcribed Image Text:(c) What is the particle's displacement between t = 0 and t = 3? Displacement
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