To state: The total distance that the pendulum swings if it is released to swing freely and travels 25 inches on the first swing. On each successive swing, the pendulum travels 85 percent as far as the previous swing.
The resultant distance is
Given information:
A pendulum released to swing freely and travels 25 inches on the first swing. On each successive swing, the pendulum travels 85 percent as far as the previous swing.
Explanation:
On the first swing pendulum travels:
On the second swing pendulum travels 85 percent as far as previous swing:
Similarly, on the third swing pendulum travels 85 percent as far as previous swing:
It can be seen that the distance forms a geometric series with the first term 25 and common ratio
Now the total distance is:
So, the total distance travelled by the pendulum is
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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