A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @jim_thompson5910

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

    \[\int\limits_{1}^{5} \cos(t) dt\]

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

    Solve that ^

  4. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    what did you get

  5. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    careful, you need to put absolute value for "distance"

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

    yeah

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

    1.8

  8. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    good point, or break up the interval into smaller pieces

  9. dan815
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    find the area under the curve

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So......1.8 it is

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    And dan please give chris his maple syrup

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Ephemera what a lad

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @chris00 no man deserves to live without his syrup.

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    should be around 2.2..

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2.2?

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Seriously?

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i just graphed it...lel

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let's see what @jim_thompson5910 has to say.

  19. ganeshie8
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1444450101879:dw|

  20. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \[\Large \int_{1}^{5}|\cos(x)|dx\] \[\Large \left|\int_{1}^{\pi/2}\cos(x)dx\right|+\left|\int_{\pi/2}^{3\pi/2}\cos(x)dx\right|+\left|\int_{3\pi/2}^{5}\cos(x)dx\right|\] \[\Large \left|\color{blue}{\int_{1}^{\pi/2}\cos(x)dx}\right|+\left|\color{red}{\int_{\pi/2}^{3\pi/2}\cos(x)dx}\right|+\left|\color{blue}{\int_{3\pi/2}^{5}\cos(x)dx}\right|\] I'll let you finish

    1 Attachment
  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1444450118173:dw|

  22. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    the blue areas on the graph can be treated as normal the red area must be forced to be positive

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if the question doesn't explicitly say to use algebra, by all means you can use graphical means (says time in an exam) . But always good to use calc techniques.

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    saves*

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2.2 was right

  26. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.