(a).
Find parametric equations that can be used to simulate the motion of the particle.
(a).
Answer to Problem 70RE
The ordered pairs of the parametric equation are:
Explanation of Solution
Given:
Concept Used:
The coordinate of the x can be taken as coordinates of t and coordinates of the y can be taken as coordinate of
Calculation:
By position
The ordered pairs of the parametric equation are:
Conclusion:
The ordered pairs of the parametric equation are:
(b).
The initial motion of the particle.
(b).
Answer to Problem 70RE
The initial position of the particle at
Explanation of Solution
Given:
Concept Used:
The particle’s initial motion is the value at
Calculation:
Put
Conclusion:
The initial position of the particle at
(c).
To find, what points reached by the particle are fastest to the left and right of the origin.
(c).
Answer to Problem 70RE
The particle is fastest to the left to the origin is
And the particle right of the origin is
Explanation of Solution
Given:
Concept Used:
Calculation:
The derivative of the function is:
Put
Put
Put
Substitute the value of
Put
Substitute the value of
Conclusion:
The particle is fastest to the left to the origin is
And the particle right of the origin is
(d).
To find when does the particle first reach the origin, also the velocity, speed and acceleration at that point.
(d).
Answer to Problem 70RE
Explanation of Solution
Given:
Concept Used:
The value of particle first reach at origin is
Calculation:
Put
The velocity and acceleration is:
At
Conclusion:
Chapter 3 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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