Concept explainers
a.
To find: The body’s velocity, speed, acceleration, and jerk at time
a.
Answer to Problem 33E
Explanation of Solution
Given information: Given a body is moving in simple harmonic motion with position
Calculation: Given that
Derivative of distance is velocity
Acceleration is the rate of change of velocity
Jerk is the rate of change of acceleration
b.
To find: the body’s velocity, speed, acceleration, and jerk at time
b.
Answer to Problem 33E
Explanation of Solution
Given information: we are given a body is moving in simple harmonic motion with position
Calculation: We are given that
(a)
Derivative of distance is velocity
Acceleration is the rate of change of velocity
Jerk is the rate of change of acceleration
Now find velocity, speed, acceleration, and jerk at
c.
To describe: The motion of the body.
c.
Answer to Problem 33E
Motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time.
Explanation of Solution
Given information: we are given a body is moving in simple harmonic motion with position
Calculation: Given that
Motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time.
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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