Solve the problem.
-A child on a swing initially swings through an arc length of 12 meters. The child stops pushing and sits patiently waiting for the swing to stop moving. If friction slows the swing so the length of each arc is 80% of the
Length of the previous arc, how far will the child have traveled before the swing stops?
A) 60 m
B) 24 m
C) 25 m
D) The child will travel an infinite distance.

Question

Quizplus · Accepted Answer

The arc lengths form a geometric series with the first term 12 m and a common ratio of 0.8. The sum of an infinite geometric series is given by S = a / (1 - r), where a is the first term and r is the common ratio. Thus, S = 12 / (1 - 0.8) = 60 m.

Solve the Problem. -A Child on a Swing Initially Swings Through an Arc