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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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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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