Concept explainers
To calculate: The position
Answer to Problem 46RE
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 4 for
Substitute 6 for C in the expression
Thus, the velocity component of the particle is
Also,
The velocity component of the particle is
Substitute 0 for
Substitute 2 for C in the expression
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 3 for
Substitute
Also,
The position of the particle is at
Substitute 3 for
Substitute 2 for C in the expression
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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