(a)
To calculate: The velocity
(a)
Answer to Problem 47E
The required velocity is
Explanation of Solution
Given information:
The position of the particle:
Calculation:
The given position of the particle is
It is known that for a position vector
So,
Now,
Hence, the required velocity is
(b)
To determine: Whether the particle is ever at rest.
(b)
Answer to Problem 47E
The particle will never be at rest.
Explanation of Solution
Given information:
The position of the particle:
Calculation:
The given position of the particle is
It is known that for a position vector
So,
Now,
Thus, the velocity is
It is seen that at
This means, the velocity vector will not be zero at any time.
Hence, the particle will never be at rest.
(c)
To determine: The coordinates of the point that the particle approaches as t increases without bound.
(c)
Answer to Problem 47E
The required coordinates of the point is
Explanation of Solution
Given information:
The position of the particle:
Calculation:
The given position of the particle is
To find the required coordinates of the point, take limit of the position vector as t approaches without bound.
Hence, the required coordinates of the point is
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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