(a)
To calculate: The velocity
(a)
Answer to Problem 38E
The required velocity and speed of the particle are
Explanation of Solution
Given information:
The position vectors:
Calculation:
Consider the position vector be
So,
It is known that for a position vector
So,
Hence, the required velocity is
(b)
To calculate: The value of
(b)
Answer to Problem 38E
The required value of
Explanation of Solution
Given information:
The position vectors:
Calculation:
Consider the position vector be
So,
Here,
Also,
Now, substitute
Hence, the required value of
(c)
To prove: Algebraically that the particle moves on the hyperbola
(c)
Explanation of Solution
Given information:
The position vectors:
Calculation:
Consider the position vector be
So,
Substitute
Thus, left hand side = right hand side
Hence, it is proved that the particle moves on the hyperbola
(d)
To graph: The path of the particle and showing the velocity vector at
(d)
Explanation of Solution
Given information:
The position vectors:
Calculation:
Consider the position vector be
So,
It is known that for a position vector
So,
Substitute 0 for t in the above expression.
The graph of the path of the particle is shown below:
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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