ntegers, fractions, multiples

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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1.The position of a particle moving along a straight line is given by the function S(t) = 2sint +
cos2t, where S [cm] and t [seconds] Answer all questions for the interval t[0,2] seconds, and
account for all possible solutions! Use Interval Notation. Round your answers to the nearest
hundredth (2 decimal places), if they are not exact integers, fractions, multiples of or radicals.
g) What is the maximum distance from the Origin?
h) When is the velocity increasing?
i) What are the minimum and maximum velocities of the particle?
Transcribed Image Text:1.The position of a particle moving along a straight line is given by the function S(t) = 2sint + cos2t, where S [cm] and t [seconds] Answer all questions for the interval t[0,2] seconds, and account for all possible solutions! Use Interval Notation. Round your answers to the nearest hundredth (2 decimal places), if they are not exact integers, fractions, multiples of or radicals. g) What is the maximum distance from the Origin? h) When is the velocity increasing? i) What are the minimum and maximum velocities of the particle?
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Follow-up Question

please answer the same way above the former one.

a) What is the velocity of the particle at t = 2.8 s ?
b) What is the acceleration of the particle at t = 3.5 s ?
c) When is the particle neither accelerating, nor decelerating?

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Follow-up Question

please answer the same way above the former one.

j) When is the particle speeding up?
k) When is the particle slowing down?
l) What is the total distance travelled? 

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