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The position of an object at time t in seconds is given by (a) Find the velocity and the acceleration of the object. v(t) = a(t) = OO = The object at that time is at meters. At that time t, the position function s(t) has a s(t) = 7 cos (8t (b) This object is in "simple harmonic motion" since a(t) = −Ms(t) for some constant M. Find M. M (c) Find the first positive time t where the velocity is zero. t = A. local minimum B. local maximum G neither 75 meters

The position of an object at time t in seconds is given by (a) Find the velocity and the acceleration of the object. v(t) = a(t) = OO = The object at that time is at meters. At that time t, the position function s(t) has a s(t) = 7 cos (8t (b) This object is in "simple harmonic motion" since a(t) = −Ms(t) for some constant M. Find M. M (c) Find the first positive time t where the velocity is zero. t = A. local minimum B. local maximum G neither 75 meters

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
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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The position of an object at time t in seconds is given by (a) Find the velocity and the acceleration of the object. v(t) = a(t) = = = 000 The object at that time is at meters. At that time t, the position function s(t) has a s(t) = 7 cos (8t (b) This object is in "simple harmonic motion" since a(t) = -Ms(t) for some constant M. Find M. M = (c) Find the first positive time t where the velocity is zero. t = A. local minimum B. local maximum C. neither 75 meters
Transcribed Image Text:The position of an object at time t in seconds is given by (a) Find the velocity and the acceleration of the object. v(t) = a(t) = = = 000 The object at that time is at meters. At that time t, the position function s(t) has a s(t) = 7 cos (8t (b) This object is in "simple harmonic motion" since a(t) = -Ms(t) for some constant M. Find M. M = (c) Find the first positive time t where the velocity is zero. t = A. local minimum B. local maximum C. neither 75 meters
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