To find: The particle’s velocity at time
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
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
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.
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
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.
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
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
AP CALCULUS TEST PREP-WORKBOOK
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