Velocity and Acceleration

Discussion in 'Homework Help' started by Breeze, Sep 20, 2015.

  1. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    Morning to you fellow Engineers,i need help with this Assignment question on velocity-"A particle is moving along the x-axis so that its distance,x in meters,at time,
    t in seconds,is x(t)=3,2 √ tan 5t. Find its velocity at time t=1,5 seconds .i know velocity is "dx/dt"in this case but i have a litlle problem with solving going forward.Any assistance in this question will be greatly appreciated.
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
    So step 1 is to compute the derivative. How should you go about setting that up?
    You might also want to learn Tex, which this site supports. Is this your position function?

    x(t)=3.2 sqrt{tan(5t)}
     
  3. dannyf

    Well-Known Member

    Sep 13, 2015
    1,811
    362
    dx(t) / dt = 3,2 d(sqrt(tan(5))) / dt = 3.2 * 1/2 * [tan(5t)^-0.5] * d(tan(5t)) / dt

    after that, you can either use a formula on d(tan(5t))/dt, or think of tan(5t) as sin(5t)/cos(5t) and go from there.
     
  4. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    yes it is
     
  5. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    thanks a lot Papa bravo
     
  6. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    Many thanks this is absolutely helpful indeed.
     
  7. WBahn

    Moderator

    Mar 31, 2012
    17,747
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    Yes, isn't it always helpful when someone does your homework for you?
     
    panic mode likes this.
  8. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
    @dannyf ...At least you didn't give him the final result.
    @Breeze ...Are you going to show us the final finished result? In TeX?
     
  9. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    i am not yet proficient with TEX but will soon study it,i have actually came across it in a couple of other sites as well..
     
  10. WBahn

    Moderator

    Mar 31, 2012
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    It's well worth getting familiar with. It is far, far more then just something for making formulas display in a forum -- it is intended for electronic typesetting in general. For instance, my entire PhD dissertation was written in LaTeX, many (most?) professional journals and conferences want submissions to be in TeX/LaTeX, and many book publishers require that it be used.
     
  11. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    Thanks a lot Sir,your advice is absolutely invaluable,may i know which site i can get comprehensive info about LaTex so i can start learning it?
     
  12. Papabravo

    Expert

    Feb 24, 2006
    10,144
    1,790
  13. Breeze

    Thread Starter New Member

    Jun 30, 2015
    24
    1
    Thanks a million
     
  14. Russmax

    Member

    Sep 3, 2015
    81
    12
    Thanks for the pointers on TeX. I joined the forums about a month ago, and I did not know you could do this. I've been typing ugly text formulas.
     
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