A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back and forth along a straight line is given by the equations = 2 sin(xt) + 2 cos(xt), where t is measured in seconds. (Round your answers to decimal places.) (a) Find the average velocity during each time period. (1) [1, 2] 4 (ii) [1, 1.1] 1 (iii) [1, 1.01] (iv) [1, 1.001] ✓ cm/s -2 x cm/s cm/s cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. x 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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A graphing calculator is recommended.
The displacement (in centimeters) of a particle s moving back and forth along a straight line is given by the equation s = 2 sin(ät) + 2 cos(πt), 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]
4
(ii) [1, 1.1]
1
(iii) [1, 1.01]
(iv) [1, 1.001]
cm/s
-2
X cm/s
cm/s
cm/s
(b) Estimate the instantaneous velocity of the particle when t = 1.
X cm/s
Transcribed Image Text:A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back and forth along a straight line is given by the equation s = 2 sin(ät) + 2 cos(πt), 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] 4 (ii) [1, 1.1] 1 (iii) [1, 1.01] (iv) [1, 1.001] cm/s -2 X cm/s cm/s cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. X cm/s
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