anonymous
  • anonymous
If a spring is oscillating (moving) according to the velocity equation v(t) = sin(t) (in ft/s), then what is its displacement over its first π seconds of travel?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
https://gyazo.com/81f7b024f75d96645c93c5a77057d0cd
anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
All I did was plug in pi, which seems extremely wrong.

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anonymous
  • anonymous
Maybe plug pi into the integral?
jim_thompson5910
  • jim_thompson5910
the displacement is equal to the area under the velocity curve
jim_thompson5910
  • jim_thompson5910
so you just need to evaluate \[\Large \int_{0}^{\pi}\sin(t)dt\]
anonymous
  • anonymous
Final answer is 2?
jim_thompson5910
  • jim_thompson5910
yeah
dan815
  • dan815
displacement = velocity * time
dan815
  • dan815
|dw:1444449711933:dw|

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