Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 2.1, Problem 1E

To determine

To find: The average speed of the object during the first 3 seconds of fall.

Expert Solution & Answer

Answer to Problem 1E

The average speed of the object during the first 3 seconds of fall is 48 ft/sec .

Explanation of Solution

Given information:

The object is dropped from rest from the top of a building falls y=16t2 feet in first t seconds.

Calculation:

The average speed of the object can be calculated by dividing the distance travelled over any time interval.

Use the formula for the average speed of the object.

s=ΔyΔt

Initially, the object was at rest so y=0 at t=0 . Substitute these values in formula for speed.

s=ΔyΔt=16(3)2−16(0)23−0=16×323=48 ft/sec

Therefore, the average speed during the first 3 seconds of fall is 48 ft/sec .

Chapter 2.1, Problem 10QR

Chapter 2.1, Problem 2E

Chapter 2 Solutions

Calculus: Graphical, Numerical, Algebraic

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