Concept explainers
Find the total distance travelled.
Answer to Problem 51PPS
The ball travelled 200 feet.
Explanation of Solution
Given:
In a physics experiment, a steel ball on a flat track is accelerated and then allowed to roll freely. After the first minute, the ball has rolled 120 feet. Each minute the ball travels only 40% as far as it did during the preceding minute. How far does the ball travel?
Concept Used:
The distance the ball travels in the minutes after it rolls freely from a geometric series.
After the first minute, the ball has rolled feet. So,
Each minute the ball travels only 40% as far as it did during the preceding minute.
So,
Calculation:
The distance the ball travels in the minutes after it rolls freely from a geometric series.
After the first minute, the ball has rolled feet. So,
Each minute the ball travels only 40% as far as it did during the preceding minute.
So,
Use the infinite series sum formula:
Now substitute:
Thus, the ball travelled 200 feet.
Chapter 11 Solutions
Algebra 2
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