(a)
To develop:A model that relates the distance d of the object from its rest position after t seconds.
(a)
Answer to Problem 21AYU
The equation of the model is
Explanation of Solution
Given:
Mass
The motion of the object is simple harmonic.
Calculation:
The general equation of a simple harmonic motion is given as follows where the variables have their usual meaning as given in the data:
To determine the value of the angular frequency, use the following formula:
Substitute the value of the angular frequency and of the variablesm , a , b and T in the general equation of a simple harmonic motion and simplify it to a reduced form as shown below:
(b)
To plot: The graph of the equation
(b)
Answer to Problem 21AYU
The graph is shown in Figure 1.
Explanation of Solution
Plot the curve of the equation
Figure 1
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Calculus & Its Applications (14th Edition)
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