anonymous
  • anonymous
A particle starts at the origin and initial verlocity is i - j + 3k. Its acceleration is a(t) = 6t i + 12t^2 j + 6t k. Find its position function. I need help confirming my answer. Is the correct way to do this to integrate a(t) to get velocity and then integrate velocity to get position?
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
yeah. You are also given it's initial velocity
anonymous
  • anonymous
When finding velocity I need to use the initial velocity as the C right?
anonymous
  • anonymous
Yes, the constant of integration after the first integration is your initial velocity

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anonymous
  • anonymous
My final answer is (t^3 + t)i + (t^4 -t)j + (2/3 t^3 + 3t)k + c (c = 0 because we started at the origin)
anonymous
  • anonymous
hang on...i'll check and see what I get
anonymous
  • anonymous
I get s(t)=(t^3+t)i+(t^4-t)j+(t^3-3t)k
anonymous
  • anonymous
Ah. I see what I did wrong. Thank you for your help! I looked at the wrong numbers for k when I was dong position integral. It works for me now.
anonymous
  • anonymous
cool, no prob

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