An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s(t) = 5 cos(t) + 7 sin(t), t > 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.) (a) Find the velocity and acceleration at time t. v(t) = a(t) =

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Find the velocity and acceleration at time t

A graphing calculator is recommended.
An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and
then released, it vibrates vertically. The equation of motion is s(t) = 5 cos(t) + 7 sin(t), t > 0, where s is measured in
centimeters and t in seconds. (Take the positive direction to be downward.)
(a) Find the velocity and acceleration at time t.
v(t) =
a(t) =
Transcribed Image Text:A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s(t) = 5 cos(t) + 7 sin(t), t > 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.) (a) Find the velocity and acceleration at time t. v(t) = a(t) =
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