Concept explainers
(a)
To find: The equation for the line tangent tot the curve at
(a)
Answer to Problem 52E
The required equation is
Explanation of Solution
Given Data:
The time interval is
The object moves in the x y plane has the position
The time
Calculation:
Consider that at the time
Then, the slope of the tangent line at
Then, the equation of the tangent line is,
(b)
To find: The speed of the object at time
(b)
Answer to Problem 52E
The speed of the object is
Explanation of Solution
The speed of the object at the time
Thus, the speed of the object is
(c)
To find: The total distance travelled by the object over the time interval
(c)
Answer to Problem 52E
The distance travelled is
Explanation of Solution
The velocity components of the particle is,
Then, the distance travelled by the particle is,
(d)
To find: The find the position of the object at time
(d)
Answer to Problem 52E
The new position of the particle is
Explanation of Solution
The displacement of the particle is obtained by,
Then, at the time
Then, the new position of the particle is,
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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