Question

A pendulum swings in an arc in which each successive swing is 40% as long as the previous swing. If the first swing covers an arc 75 meters long, what is the total distance the pendulum will swing before coming to rest?

a.250 meters
b.125 meters
c.100 meters

Answer 1

Do you know calculus?

Answer 2

this is pre cal lol

Answer 3

oh...you're going to make a geometric series where the ratio is 0.4

So, the first swing is 75.
The next swing is 75(.4)
The next swing is 75(.4)(.4)
The next swing is 75(.4)(.4)(.4)

You are finding the sum of an infinite number of swings. The sum of an infinite geometric series is \[S = \frac{a_1}{1-r}\]
Plugging in your values, we get 75/.6 = 125 m

Answer 4

THANKS !!!!!!!!!

Answer 5

yw.