a.
To find:The time during which the particle moves forward, moves backward, speeds up and slows down.
a.
Answer to Problem 9E
The particle moves forward when
Explanation of Solution
Given Information:A figure showing the velocity
The particle moves forward when the velocity is positive, i.e., when
The particle moves backward when the velocity is negative, i.e., when
Now,
The particle speeds up when the slope of the graph of speed v/s time is positive, i.e., when
The particle slows down when the slope ofthe graph of speed v/s time is negative, i.e., when
b.
To find:The time during which the particle’s acceleration is positive, negative and zero.
b.
Answer to Problem 9E
The acceleration of the particle is positive when
Explanation of Solution
Given Information:A figure showing the velocity
The acceleration of the particle is positive when the slope of the given graph is positive, i.e., when
c.
To find:The time during which the particle is moving at its greatest speed.
c.
Answer to Problem 9E
The speed is greatest when
Explanation of Solution
Given Information:A figure showing the velocity
The speed is greatest when
d.
To find:The time during which the particle stands still for more than an instant.
d.
Answer to Problem 9E
The particle stands still for more than an instant when
Explanation of Solution
Given Information:A figure showing the velocity
From figure, it is clear that when
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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