anonymous
  • anonymous
Find the position function s(t) from the given velocity or acceleration function and initial value(s). Assume that units are feet and seconds. v(t) = 40 – sin t, s(0) = 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tkhunny
  • tkhunny
Position Function: \(x(t) = \int\limits_{0}^{t}v(r)\;dr\) Go!
anonymous
  • anonymous
I got -1 is that correct?
tkhunny
  • tkhunny
No, it should have a 't' in it. What did you get for \(\int 40 - \sin(t)\;dt\)

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anonymous
  • anonymous
I got (40 - sin(t)) (x)
tkhunny
  • tkhunny
dt not dx.
tkhunny
  • tkhunny
Maybe \(x(t) = 40t + \cos(t) + C\)
anonymous
  • anonymous
ok
anonymous
  • anonymous
then i substitute 2 right?
tkhunny
  • tkhunny
Sorry, I've been using x(t). I see the problem statement has specified s(t). \(s(t) = 40t + \cos(t) + C\) No, substitute t = 0, so that s(0) = 2. This establishes the values of "C".
anonymous
  • anonymous
ohh okay got you

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