(a)
To calculate:
The first five terms of the infinite series representing the vertical distance traveled by ball
(a)
Answer to Problem 40E
The first five terms of the infinite series is
Explanation of Solution
Given information:
First height of the basket ball:
Distance after each fall:
Calculation:
First height of the basket ball:
Second height of the basket ball:
Third height of the basket ball:
So the infinite series is
The general form of the geometric series is
The first five terms of the series are
(b)
To calculate:
The total vertical distance the ball travel before coming to the rest
(b)
Answer to Problem 40E
The total vertical distance the ball travel before coming to the rest is
Explanation of Solution
Given information:
First height of the basket ball:
Distance after each fall:
Calculation:
The geometric sum of ball is the total vertical distance of abll travel before coming to the rest.
The formula of geometric sum is:
Put the value in equation (1)
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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