Concept explainers
a.
To find : Velocity of the particle.
a.
Answer to Problem 25E
The velocity of the function is
Explanation of Solution
Given information :
The position function of the particle is
Calculation :
Since, the first derivative of the position function gives velocity. Therefore,
Find the first derivative to get the velocity of the particle:
Hence,
The velocity of the function is
b.
To find : Acceleration of the particle.
b.
Answer to Problem 25E
The acceleration of the function is
Explanation of Solution
Given information :
The position function of the particle is
Calculation :
Since, the second derivative of the position function gives acceleration. Therefore,
Find the second derivative to get the velocity of the particle:
Hence,
The acceleration of the function is
c.
To describe : The motion of the particle.
c.
Answer to Problem 25E
The particle is moving to the right on interval
Explanation of Solution
Given information :
The position function of the particle is
Calculation :
From part (a) velocity is
When the function
Set
The zero partitions the t axis into two intervals as shown in the sign graph of v below:
The particle is moving to the right on interval
And the acceleration is constant throughout.
Hence,
The particle is moving to the right on interval
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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