(a)
To calculate: The velocity and speed of the point at
(a)
Answer to Problem 46E
The required velocity and speed of the point are
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
So,
Now,
At
Also, it is known that the magnitude of the velocity vector of a particle is known as the speed of the particle.
The magnitude of a vector
At
Hence, the required velocity and speed of the point are
(b)
To determine: The equation of the hyperbola in x and y by eliminating the parameter.
(b)
Answer to Problem 46E
The required equation is
Explanation of Solution
Given information:
The position of the point:
Calculation:
The given position of the point is
Use the
Write the expressions
Also,
Use subtraction on the above two equations:
Hence, the required equation is
(c)
To graph: The path of the particle over the time interval
(c)
Explanation of Solution
Given information:
The position of the point:
Calculation:
The given position of the point is
The required graph for the path of the particle is shown below:
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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