Calculus: Graphical, Numerical, Algebraic
3rd Edition
ISBN: 9780133688399
Author: Finney, Ross L.
Publisher: Pearson/Prentice Hall
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Question
Chapter 5.2, Problem 43E
(a)
To determine
To find: The speed of the rock just before it hits the ground just before it hits the bottom 30 sec later when the acceleration due to the gravity is
(a)
Expert Solution
Answer to Problem 43E
The value of the speed is
Explanation of Solution
Calculation:
Consider the acceleration is,
Consider the velocity is the anti-derivative of the acceleration that is,
Then,
(b)
To determine
To find: The distance below the point of the release is the bottom of the crevasse.
(b)
Expert Solution
Answer to Problem 43E
The distance is of
Explanation of Solution
Calculation:
Consider the expression for the distance is,
Then, after 30 sec is,
(c)
To determine
To find: The time at which the rock will hit the bottom and the speed at which the rock will go.
(c)
Expert Solution
Answer to Problem 43E
The required time is
Explanation of Solution
Given:
The rock instead of being released from the rest the rock is thrown into the crevasse from the same point with the downward velocity of
Calculation:
Consider the velocity is the anti-derivative of the acceleration that is,
Then,
Then, the equation is,
Then, the distance travelled is,
Then,
Then, the velocity is,
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
Ch. 5.1 - Prob. 1QRCh. 5.1 - Prob. 2QRCh. 5.1 - Prob. 3QRCh. 5.1 - Prob. 4QRCh. 5.1 - Prob. 5QRCh. 5.1 - Prob. 6QRCh. 5.1 - Prob. 7QRCh. 5.1 - Prob. 8QRCh. 5.1 - Prob. 9QRCh. 5.1 - Prob. 10QR
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