a.
To find: The body’s velocity, speed, and acceleration at the time
a.
Answer to Problem 13E
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.
The body’s velocity, speed, and acceleration at the time
b.
Answer to Problem 13E
Velocity 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.
Describe the motion of the body.
c.
Answer to Problem 13E
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:
We observe from the graph, body swing between
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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