To find: The velocity and acceleration
Answer to Problem 36E
And
And the path of the particle is the parametric curve defined by:
Explanation of Solution
Given information:
In the plane with position vector
Calculation:
Know that if the position vector of a particle is equal to:
Then the velocity vector of a particle is equal to:
In this exercise, the position vector of the particle is equal to
Then,
Which means that,
The previous results show that the particle's velocity vector is equal to:
Then the acceleration vector of a particle is equal to:
Hence, from part
Then,
The previous results show that the particle's acceleration vector is equal to:
To determine the path of the particle need to graph the parametric curve defined by:
The following graph is the graph of the path of the particle.
Therefore, the required velocity vector
And the path of the particle is the parametric curve defined by:
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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