73.The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is -1.5t s (t) 2e sin t where s is measured in centimeters and t in seconds. Find the velocity after t seconds and graph both the position and velocity functions for 0 t<2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
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73.The motion of a spring that is subject to a frictional force or a damping force (such as a
shock absorber in a car) is often modeled by the product of an exponential function and a
sine or cosine function. Suppose the equation of motion of a point on such a spring is
-1.5t
s (t) 2e
sin t
where s is measured in centimeters and t in seconds. Find the velocity after t seconds and
graph both the position and velocity functions for 0 t<2.
Transcribed Image Text:73.The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber in a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is -1.5t s (t) 2e sin t where s is measured in centimeters and t in seconds. Find the velocity after t seconds and graph both the position and velocity functions for 0 t<2.
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