a.
To find: The body’s velocity, speed, and acceleration at the time
a.
Answer to Problem 15E
Velocity is
Explanation of Solution
Given information: A body is moving in simple harmonic motion with position
Calculation: Velocity is derivative of distance.
Speed is absolute value of velocity.
So speed is
The acceleration is derivative of velocity.
Acceleration is
Thus, velocity is
b.
To find: The body’s velocity, speed, and acceleration at the time
b.
Answer to Problem 15E
Velocity is is
Explanation of Solution
Given information: A body is moving in simple harmonic motion with position
Calculation: Velocity is derivative of distance.
Put
Speed is absolute value of velocity.
Put
The acceleration is derivative of velocity.
Acceleration is
Put
Thus, velocity is
c.
To describe: The motion of the body.
c.
Answer to Problem 15E
The period of
Explanation of Solution
Given information: A body is moving in simple harmonic motion with position
Calculation: A body is moving in simple harmonic motion with position
Draw the graph of this equation:
We observe from the graph the body swing between
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
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