(a)
To calculate: The speed of the point at
(a)
Answer to Problem 45E
The required speed of the point is 2.399.
Explanation of Solution
Given information:
The position of the point:
Calculation:
The given position of the point is
It is known that for a position
So,
Now,
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 speed of the point is 2.399.
(b)
To calculate: The acceleration of the point at
(b)
Answer to Problem 45E
The required acceleration of the point is
Explanation of Solution
Given information:
The position of the point:
Calculation:
The given position of the point is
It is known that for a position vector
So,
Now,
Hence, the required acceleration of the point is
(c)
To determine: The equation in x and y that defines curve on which the point moves.
(c)
Answer to Problem 45E
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,
Add the above two equations:
Hence, the required equation is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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