(a)
To find: The
(a)
Answer to Problem 51E
The x coordinate of the new position is that is 3.942.
Explanation of Solution
Given Data:
The object moves along the curve in the xy plane has the position
The position of the object at
Calculation:
Consider the displacement of the object in the
Since, at
Thus, the x coordinate of the new position is
(b)
To find: The equation for the tangent line to the curve at the point
(b)
Answer to Problem 51E
The required equation of the tangent line is
Explanation of Solution
Given:
At time
Calculation:
Consider that at
The slope of the tangent line at
Then the equation of the line tangent to the curve at
(c)
To find: The speed of the object at time
(c)
Answer to Problem 51E
The speed of the object is
Explanation of Solution
Consider the speed of the object at time
(d)
To find: The acceleration
(d)
Answer to Problem 51E
The acceleration vector is
Explanation of Solution
Consider that for
Then,
Here,
Then, the acceleration vector of the particle is,
Then, at time
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
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