Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

onegirl Group Title

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

  • one year ago
  • one year ago

  • This Question is Closed
  1. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @SithsAndGiggles can u help?

    • one year ago
  2. SithsAndGiggles Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    \[v(t)=s'(t),\text{ so }\int v(t)~dt+C=s(t)\] So the first thing you do find the indefinite integral of the given \(v(t)\): \[\int(40-\sin t)~dt\]

    • one year ago
  3. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    okay

    • one year ago
  4. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so s(t) = 40t + cos(t) + c = 40(0) + cos(0) + c = 2

    • one year ago
  5. SithsAndGiggles Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah, that looks right, but when you write it out you have two separate equations: the first being the more general \(s(t)=40t+\cos t+C\) and the second involving the initial values, \(s(0)=40(0)+\cos 0+C=2\). Anyway, solving for C and plugging it into the first equation gives you your answer.

    • one year ago
  6. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so i should plug in 2 into 40t + cost + c right? and okay

    • one year ago
  7. SithsAndGiggles Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    No, you have that \(s(0)=2\), so you would just plug in 0 for t and set the equation equal to 2. You had it right, but you should have written that step in another equation.

    • one year ago
  8. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh ok

    • one year ago
  9. onegirl Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so i'm done?

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.