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A graphing calculator is recommended. 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 (position) of a point on such a spring is st) = 2e-0.7t sin(2xt) where s is measured in centimeters and t in seconds. Find the velocity after t seconds. v(t) = Graph the position function for 0 sts 2. 1 0.5 1.0 1.5 2.0 1.0 .5 2.0 0.5 1.0 1.5 2.0 -1 0. 1.5 Graph the velocity function for 0 sts 2.

A graphing calculator is recommended. 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 (position) of a point on such a spring is st) = 2e-0.7t sin(2xt) where s is measured in centimeters and t in seconds. Find the velocity after t seconds. v(t) = Graph the position function for 0 sts 2. 1 0.5 1.0 1.5 2.0 1.0 .5 2.0 0.5 1.0 1.5 2.0 -1 0. 1.5 Graph the velocity function for 0 sts 2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 67E
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A graphing calculator is recommended. 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 (position) of a point on such a spring is s(t): = 2e -0.7t sin(2at) where s is measured in centimeters and t in seconds. Find the velocity after t seconds. v(t) = Graph the position function for 0 <ts 2. S 2F 2 1 1 1 d.5 1.0 t 2.0 0.5 1.0 1.5 2.0 0.5 1.0 1.5 2.0 -1 -1 -1 -2P 0.5 .0 1.5 2.0 -1 C-2F Graph the velocity function for 0 < t < 2. V V 2. 1.
Transcribed Image Text:A graphing calculator is recommended. 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 (position) of a point on such a spring is s(t): = 2e -0.7t sin(2at) where s is measured in centimeters and t in seconds. Find the velocity after t seconds. v(t) = Graph the position function for 0 <ts 2. S 2F 2 1 1 1 d.5 1.0 t 2.0 0.5 1.0 1.5 2.0 0.5 1.0 1.5 2.0 -1 -1 -1 -2P 0.5 .0 1.5 2.0 -1 C-2F Graph the velocity function for 0 < t < 2. V V 2. 1.
Graph the velocity function for 0 <t < 2. V V 10 10 10 5 5 0.5 Y.0 1.5 9.5 1.0 2.0 0.5 1.0 1.5 2.0 -5 -5 -5 - 10 - 10 - 10 C V 10 5 0.5 1.0 1.5 2.0 -5 - 10
Transcribed Image Text:Graph the velocity function for 0 <t < 2. V V 10 10 10 5 5 0.5 Y.0 1.5 9.5 1.0 2.0 0.5 1.0 1.5 2.0 -5 -5 -5 - 10 - 10 - 10 C V 10 5 0.5 1.0 1.5 2.0 -5 - 10
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