The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin(xt) + 5 cos(xt), where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] 10 V cm/s (ii) [1, 1.1] |-0.375 X cm/s (iii) (1, 1.01] -0.057 ]× cm/s (iv) [1, 1.001] -0.00625 x cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. cm/s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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I need the parts with an X next to them, and part B 

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin(at) + 5 cos(at), where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.
(i)
[1, 2]
10
cm/s
(ii)
[1, 1.1]
|-0.375
X cm/s
(iii) [1, 1.01]
|-0.057
X cm/s
(iv) [1, 1.001]
|-0.00625
X cm/s
(b) Estimate the instantaneous velocity of the particle when t = 1.
cm/s
Transcribed Image Text:The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin(at) + 5 cos(at), where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] 10 cm/s (ii) [1, 1.1] |-0.375 X cm/s (iii) [1, 1.01] |-0.057 X cm/s (iv) [1, 1.001] |-0.00625 X cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. cm/s
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