Concept explainers
To calculate: The position
Answer to Problem 45RE
The required position vector is
Explanation of Solution
Given information:
The vectors:
Calculation:
The given vectors are
It is known that the first derivative of the velocity vector
So,
Now, use the above theory and write:
The velocity component of the particle is
Substitute 0 for
Thus, the velocity component of the particle is
Also,
The velocity component of the particle is
Substitute 0 for
The velocity component of the particle is
Thus, the velocity vector is
It is known that the first derivative of the position vector
So,
Now, use the above theory and write:
The position of the particle is at
Substitute 0 for
Thus, the velocity component of the particle is
Also,
The position of the particle is at
Substitute 0 for
Thus, the velocity component of the particle is
Hence, the required position vector is
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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