a.
To find: The
a.
Answer to Problem 51E
Explanation of Solution
Given information:
The position
Calculation:
The
But
At
Hence, the
b.
To find: The equation of tangent at
b.
Answer to Problem 51E
Explanation of Solution
Given information:
The position vector of an object
Calculation:
At
The slope of the tangent,
The equation of tangent line at
Hence, the equation tangent is
c.
To find: The speed of the object
c.
Answer to Problem 51E
Explanation of Solution
The position vector of an object
Calculation:
At
So, the speed of the object
Hence, the speed of the object is
d.
To find: The acceleration vector of the object at time
d.
Answer to Problem 51E
Explanation of Solution
Given information:
The position vector of an object
Calculation:
For
Find double derivative of the particle with repect to
Now find
The acceleration vector at
Hence, the accleration vector is
Chapter 10 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning