An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the function a(t) = 9 sin(πt). The initial velocity of the object is v(0) = 0 m/s, and its initial position is s(0) = −3 m. a) Find an equation v(t) for the object's velocity. Use exact values. v(t) = b) Find an equation s(t) for the object's position. Use exact values. s(t) =

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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An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the function
a(t) = 9 sin(πt). The initial velocity of the object is v(0) = 0 m/s, and its initial position is s(0) = −3
m.
a) Find an equation v(t) for the object's velocity. Use exact values.
v(t) =
b) Find an equation s(t) for the object's position. Use exact values.
s(t) =
Transcribed Image Text:An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the function a(t) = 9 sin(πt). The initial velocity of the object is v(0) = 0 m/s, and its initial position is s(0) = −3 m. a) Find an equation v(t) for the object's velocity. Use exact values. v(t) = b) Find an equation s(t) for the object's position. Use exact values. s(t) =
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