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January 27, 2015

January 27, 2015

Posted by **Katlyn** on Monday, March 25, 2013 at 5:46pm.

Find the amplitude, vertical shift, phase shift and k value and period. Do all calculations and then make your final equation.

Can u please help me with this pne cuz there are a lot more and i don' t understand any of them please help meeee!!!:(

- Math -
**Reiny**, Monday, March 25, 2013 at 6:11pm"distance from the high point to the low point is 30cm"

----> your a value is 15

so far: d(t) = 15 sin ( ???? t)

5 cycles takes 4 seconds

so 1 cycle takes 4/5 seconds

then 2π/k = 4/5

4k = 10π

k = 5π/2

so far: d(t) = 15 sin (5π/2)( t ± phase shift)

since you didn't say where you want the object to be at t-0 , I will assume at the mean positon of zero

so .....

d(t) = 15sin (5π/2)t

since you only had data affecting the amplitude and period I will go with the above.

testing:

since the period is .8 seconds we should have a value of -15 at the 3/4 mark

3/4 (.8) = .6

set your calculator to radians and evaluated

15 sin (5π/2)(.6)

( I get -15)

- Math -
**Krystien**, Monday, March 25, 2013 at 6:31pmIm sorry I do not understand. How did you get 15 and the period .8 seconds how did you get the 5pie/2please explainI am so confused!!!:(

- Math -
**Reiny**, Monday, March 25, 2013 at 6:39pmI assumed you were familiar with the basic general sine function

y = a sin kŲ

where a is the amplitude, and k is such that

2π/k is the period of the curve.

To be able to do the type of question above, you just MUST know that terminology.

Check with your textbook or your notes.

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