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

FaisalAyaz Group Title

A spring hanging from the ceiling vibrates up and down. it's vertical position at time (t) is given by f(t)=4 sin(3t). (a) Find the velocity of the spring at time t. (b) What is the spring's maximum speed. (c) what is location when it reaches its maximum speed.

  • 2 years ago
  • 2 years ago

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

    You know that the position as a function of time is: \[x(t) = 4\sin(3t)\] you also know that velocity is defined as: \[\frac{dx}{dt}\]

    • 2 years ago
  2. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    can you find the derivative of: \[x(t) = 4\sin(3t)\]

    • 2 years ago
  3. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes that is the ans of a.what about b and c parts?

    • 2 years ago
  4. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    so we want to find the maximum of: \[12\cos(3t)\]

    • 2 years ago
  5. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So this basically comes down to finding where the cosine function has it's maximums

    • 2 years ago
  6. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    and then using the value for the maximum of a cosine in the equation

    • 2 years ago
  7. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So, what is the maximum of a cosine function?

    • 2 years ago
  8. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    1

    • 2 years ago
  9. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, so the maximum value for the speed must be:

    • 2 years ago
  10. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i think 12

    • 2 years ago
  11. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • 2 years ago
  12. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    At what time does the speed become 12?

    • 2 years ago
  13. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    don't know.may be 0

    • 2 years ago
  14. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, because cos(x) = 1 when x = 0

    • 2 years ago
  15. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Now that you know the time at which it reaches its maximum speed, you can plug that into the first equation

    • 2 years ago
  16. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    which first equation?

    • 2 years ago
  17. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    the equation for position as a function of time

    • 2 years ago
  18. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    f(t)=4sin(3t)

    • 2 years ago
  19. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • 2 years ago
  20. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    what i do with this now? please explain

    • 2 years ago
  21. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i put t=0 so position is zero?

    • 2 years ago
  22. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes

    • 2 years ago
  23. FaisalAyaz Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok.Thanks a lot.

    • 2 years ago
  24. MrMoose Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You are welcome

    • 2 years 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.