If the equation of motion of a particle is given by s = A cos(@t + 8), the particle is said to undergo simple harmonic motion. (a) Find the velocity of the particle at time t. s'(t) = aw sin(wt + 8) x (b) When is the velocity 0? (Use n as the arbitrary integer.) nn - 8 t =

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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If the equation of motion of a particle is given by s = A cos(@t + ô), the particle is said to undergo simple harmonic motion.
(a) Find the velocity of the particle at time t.
s'(t) :
aw sin (wt + 8)| ×
%3D
(b) When is the velocity 0? (Use n as the arbitrary integer.)
NT – 8
|
t =
W
Enhanced Feedback
Please try again. Remember, the velocity function is the derivative of the position function. Recall the chain rule: If F(x) = f(g(x)), then F'(x) = f'(g(x)) · g '(x).
If the velocity function is periodic, it may be 0 at infinitely many points.
Transcribed Image Text:If the equation of motion of a particle is given by s = A cos(@t + ô), the particle is said to undergo simple harmonic motion. (a) Find the velocity of the particle at time t. s'(t) : aw sin (wt + 8)| × %3D (b) When is the velocity 0? (Use n as the arbitrary integer.) NT – 8 | t = W Enhanced Feedback Please try again. Remember, the velocity function is the derivative of the position function. Recall the chain rule: If F(x) = f(g(x)), then F'(x) = f'(g(x)) · g '(x). If the velocity function is periodic, it may be 0 at infinitely many points.
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