To prove: That the angle between
Answer to Problem 42RE
The required value of the angle is
Explanation of Solution
Given information:
The position of the particle:
Calculation:
The given position of the particle is
It is known that if
So,
Substitute
Substitute
Now, the slope of the position vector is:
And, the slope of the acceleration vector is
It is seen that the slope of the acceleration vector is the negative reciprocal of the slope of the position vector.
Thus, the angle between them is
Hence, it is proved that the angle between
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
Precalculus
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
Calculus and Its Applications (11th Edition)
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