Solve the problem.
-The initial swing (one way) of a pendulum makes an arc of 20 in. Each swing (one way) thereafter makes an arc of 98% of the length of the previous swing. What is the total arc length that the
Pendulum travels?
A) 1,000 in.
B) 500 in.
C) 1,100 in.
D) 1,400 in.

Question

Quizplus · Accepted Answer

This problem describes a geometric series where the first term $a = 20$ inches and the common ratio $r = 0.98$. The total distance traveled by the pendulum is the sum of an infinite geometric series, which can be calculated using the formula $S = \frac{a}{1 - r}$. Substituting the given values, we get $S = \frac{20}{1 - 0.98} = \frac{20}{0.02} = 1,000$ inches.

Solve the Problem. -The Initial Swing (One Way) of a Pendulum Makes an Pendulum