Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Particle acceleration and velocity Problem

  1. Jan 30, 2007 #1
    A particle is moving along a straight line such that its acceleration is defined as a=(4s^2)m/s^2, where s is in meters. If v=-100m/s when s=10m and t=0, determine the particles velocity as a function of position.

    Now I'm taking the integral of a but when I plug in the other parts, it doesn't work out. I think I'm doing something wrong.

    Someone please comment on how-to approach this problem step by step thanks!
     
  2. jcsd
  3. Jan 30, 2007 #2
    [tex]a(t)= \frac{d(s')}{dt} =4s^2[/tex]

    Move over dt integrate, set the limits, and solve.
     
  4. Jan 30, 2007 #3
    Can you explain a little further please?
     
  5. Jan 30, 2007 #4
    Which part?

    What dynamics book are you using? There should be a problem similar to this given somewhere as an example.
     
  6. Jan 30, 2007 #5
    after moving over dt to integrate, how did you approach it from there
     
  7. Jan 30, 2007 #6
    what do you mean? Show me some work please.
     
  8. Jan 30, 2007 #7
    how can i post the work here?
     
  9. Jan 30, 2007 #8
    Type out what you got and what you did.

    You can use [tex] and [ / tex] tags to make it look nicer.
     
  10. Jan 30, 2007 #9
    integral 4s^2 = (4s^3)/3

    s=10

    4(10^3)/3 = 1333.33

    1333.33/10 = 133.33 = particle velocity at x position
     
  11. Jan 30, 2007 #10
    Are you familiar with the definition of acceleration?

    Which class is this HW for?
     
  12. Jan 30, 2007 #11
    It is for a dynamics class, I just want to get a head start on a set of problems that were given to me
     
  13. Jan 30, 2007 #12
    I think you need to review the basics of dynamics. What it means when they say acceleration, velocity, and position.

    I think you need to solidify the fundamentals before doing this HW. You should know better that acceleration is the second derivative of position by now.
     
  14. Jan 30, 2007 #13
    so you cant help me?
     
  15. Jan 30, 2007 #14
    Sure, tell me what the definition of acceleration is, and look for your mistake.

    I can point out mistakes, but im not going to teach you fundamentals. :wink:
     
  16. Jan 30, 2007 #15
    can you solve it and I can find my mistake, or post how.

    also acceleration is the rate at which a object increases/changes its velocity(speed)
     
  17. Jan 30, 2007 #16
    Ah, Im sorry. Its asking for velocity as a function of position. I was thinking you had to integrate twice.

    What you need to do: set up your limits of integration.
     
  18. Jan 30, 2007 #17
    ?????????????????
     
  19. Jan 30, 2007 #18
    Do you know what limits of integration are?
     
  20. Jan 30, 2007 #19
    yes integral from one value to another
     
  21. Jan 30, 2007 #20
    so what are your value you used?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Particle acceleration and velocity Problem
  1. Particle accelerator (Replies: 2)

Loading...