Posted by **Anonymous** on Wednesday, September 21, 2011 at 8:07pm.

A pendulum swings through an arc length of 1120 cm (Swing #1). With each further swing, the arc length is reduced by 15 %

State the growth factor.

Calculate the length of the arc in swing #5

I think im supposed to use this formula again, but I don't know how to use it. Tn = ar^n-1

- Calculus Hard Question -
**Reiny**, Wednesday, September 21, 2011 at 8:11pm
swing #1 : 1120

swing#2: 1120(.85) = 952

swing #3 : 952(.85) or 1120(.85)^2 = 809.2

..

swing#5 = 1120(.85)^4 = 584.647 cm

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:13pm
Where did you get 0.85 from?

- Calculus Hard Question -
**Reiny**, Wednesday, September 21, 2011 at 8:19pm
100% - 15% = 85% = .85

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:20pm
Ok wait, sorry sorry. I actually messed writing the question. Its supposed to be 120 cm, not 1120 cm. But you're still right, the growth factor is 0.85m but I don't know how you got that:\

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:22pm
swing#5 = 120(.85)^4 = 63?

- Calculus Hard Question -
**Reiny**, Wednesday, September 21, 2011 at 8:28pm
yes, to the nearest cm , I had 62.64

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:29pm
But I checked the answer, and it says its 73.695 :S

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:32pm
Ok, maybe I messed up writing the whole thing, I'll rewrite it again.

A pendulum swings through an arc of 120 cm (Swing #1)

With each further swing, the arc length is reduced by 15%

State the growth factor

Calculate the length of the arc in Swing #4

- Calculus Hard Question -
**Reiny**, Wednesday, September 21, 2011 at 8:34pm
Their answer is wrong.

According to your typing

swing#1 = 120

swing #2 = 120(.85) =

swing#3 = 120(.85)^2

swing #4 = 120(.85)^3 = 73.695

swing#5 = 120(.85)^4 = 62.64

Their answer would be for the 4th swing.

- Calculus Hard Question -
**Anonymous**, Wednesday, September 21, 2011 at 8:37pm
Oh ok, thanks so much, it was all because of my typing mistake :S Sorry about that.

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