Results 1 to 3 of 3

Math Help - Velocity

  1. #1
    Super Member
    Joined
    Oct 2006
    Posts
    679
    Awards
    1

    Velocity

    Is this correct?

    The position of a particle as a function of time is given by x=(2.0 m/s)t + (-9.0 m/s^3)t^3.

    (a) Plot x versus t for time from t=0 to t=1.0s

    (b) Find the average velocity of the particle from t = 0.35 s to t = 0.45 s

    (c) Find the average velocity from t = 0.39 s to t = 0.41 s

    (d) Do you expect the instantaneous velocity at t = 0.40 s to be closer to 0.54 m/s, 0.56 m/s, or 0.58 m/s?


    a)

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Grandad's Avatar
    Joined
    Dec 2008
    From
    South Coast of England
    Posts
    2,570
    Thanks
    1

    Velocity

    Hello qbkr21

    Your method and workings are correct for part b to d - that is, assuming that the formula is

     x = 2t - 3t^3

    and not x = 2t-9t^3, as in the first part of your post.

    The graph is not so good, though. You've only plotted values for t=0 and t=1. You need more than this to get a feeling for the shape. Here's a quick version of what it should look like.

    Grandad
    Attached Thumbnails Attached Thumbnails Velocity-untitled.jpg  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Oct 2006
    Posts
    679
    Awards
    1

    RE:

    Thank You for the help. The first part of my post must have been a type. I was to graph x = (2.0 m/s)t + (-3.0 m/s^3)t^2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: February 23rd 2011, 09:17 AM
  2. Replies: 3
    Last Post: February 20th 2010, 06:21 PM
  3. Replies: 2
    Last Post: September 21st 2009, 02:32 PM
  4. velocity
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 14th 2008, 08:12 AM
  5. [SOLVED] Can the average velocity and delta velocity ever be the same?
    Posted in the Advanced Applied Math Forum
    Replies: 9
    Last Post: September 28th 2007, 04:24 AM

Search Tags


/mathhelpforum @mathhelpforum