Concept explainers
a.
To find: The velocity of the particle at any time t.
a.
Answer to Problem 81RE
Explanation of Solution
Given information: A particle moves along the x-axis so that at any time
is given by
Calculation:
b.
To find: The acceleration of the particle at any time t.
b.
Answer to Problem 81RE
Explanation of Solution
Given information: A particle moves along the x-axis so that at any time
position is given by
Calculation:
c.
To find: All values of t for which the particle is at rest.
c.
Answer to Problem 81RE
t=2.
Explanation of Solution
Given information :A particle moves along the x-axis so that at any time
position is given by
Calculation:
Factor the velocity function x'(t) to find when it is equal to 0. This is when t=2 and t=-2, but since we are only considering positive values of t, we disregard t=-2. The particle is at rest when t=2.
d.
To find: The speed of the particle when its acceleration is zero
d.
Answer to Problem 81RE
12 is the speed of the particle when its acceleration is zero.
Explanation of Solution
Given information :A particle moves along the x-axis so that at any time
position is given by
Calculation :
e.
To find: The particle moving toward the origin or away from the origin when t =3.
e.
Answer to Problem 81RE
toward the origin.
Explanation of Solution
Given information: A particle moves along the x-axis so that at any time
position is given by
Calculation :
Therefore the particle is moving toward the origin,
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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