An object is moving on a straight line according to the following position function. = -9 cos(5t) - 9√/3 sin (5t) meters x(t) = (a) The velocity and the acceleration of this displacement are v(t) = a(t)= (b) This position is in simple harmonic motion since (c) We rewrite x (t) as A cos(wt + o). A = a(t) = == 13 (d) Find the amplitude, the period and the frequency of (t). Amplitude = meters. Period= 1) ² x(t) seconds. Frequency= m/s m/s2 1/seconds.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An object is moving on a straight line according to the following position function.
(a) The velocity and the acceleration of this displacement are
v(t) =
a(t)=
x(t) = = -9 cos(5t) - 9√/3 sin(5t) meters
(b) This position is in simple harmonic motion since
(c) We rewrite x (t) as A cos(wt + o).
A =
a(t) =
==
W3
(d) Find the amplitude, the period and the frequency of (t).
Amplitude =
meters. Period=
² x (t)
seconds. Frequency=
m/s
m/s2
1/seconds.
Transcribed Image Text:An object is moving on a straight line according to the following position function. (a) The velocity and the acceleration of this displacement are v(t) = a(t)= x(t) = = -9 cos(5t) - 9√/3 sin(5t) meters (b) This position is in simple harmonic motion since (c) We rewrite x (t) as A cos(wt + o). A = a(t) = == W3 (d) Find the amplitude, the period and the frequency of (t). Amplitude = meters. Period= ² x (t) seconds. Frequency= m/s m/s2 1/seconds.
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