Concept explainers
(a)
To find: The slope of the path.
(a)
Answer to Problem 49E
The slope of the path is
Explanation of Solution
Differentiate the component of the position
The slope of the path at
Therefore, the slope is
(b)
To find: The speed of the particle.
(b)
Answer to Problem 49E
The speed of the particle is
Explanation of Solution
The velocity vector is calculated as,
The velocity at
The magnitude of the velocity is calculated as,
Therefore, the speed of the particle is
(c)
To find: The distance travelled by the particle.
(c)
Answer to Problem 49E
The distance travelled by the particle is
Explanation of Solution
The distance travelled by the particle is calculated as,
Therefore, the distance travelled by the particle is 2.430.
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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