To find: The particle’s velocity at time
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
Explanation of Solution
Given information:
Graph for the velocity of particle:
From the graph, the particle’s velocity at time
To find: If the acceleration of particle at time
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
Negative.
Explanation of Solution
Given information:
Graph for the velocity of particle:
The tangent at has negative slope.
Hence, the acceleration of the particle at time
To find: The particle’s position at time
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
The particle’s position is at origin.
Explanation of Solution
Given information: What is the particle’s position at time
Since the area under the curve is
The particle’s position is at origin at
To find: The time when particle pass through the origin.
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
At
Explanation of Solution
Given information: When does the particle pass through the origin
From the graph given, the particle pass through the origin at
To find: When the acceleration of particle is
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
Explanation of Solution
Given information: Approximately, when the acceleration of particle is
From the graph, the tangent is parallel to
Hence, the acceleration is
To find: When the particle is moving toward the origin and away from the origin.
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
The particle is moving toward the origin at
The particle is moving away from the origin at
Explanation of Solution
Given information: When the particle is moving toward the origin and away from the origin
From the graph, we have:
The particle is moving toward the origin at
The particle is moving away from the origin at
To find: The side of the origin, the particle lie at time
![Check Mark](/static/check-mark.png)
Answer to Problem 65E
The positive side of the origin.
Explanation of Solution
Given information: On which side of the origin does the particle lie at time
At time
Chapter 5 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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