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Calculate objects Position/acceleration as function of time

  1. Sep 15, 2008 #1
    1. The problem statement, all variables and given/known data
    vx(t)=a-bt^2
    a=4.0 m/s
    b=2.0 m/s^2
    At t=0 the object is at x=0

    a)Calculate objects position as a function of time
    b)Calculate objects acceleration as a function of time
    c)What is objects maximium positive displacement from the origin


    2. Relevant equations
    vx(t)=a-bt^2


    3. The attempt at a solution
    a)Xf=x1 + V1t + 1/2at^2
    Xf=0 + 4(0)+1/2(9.8)(0)^2

    c)V2^2= V1^2 + 2aD
    -V1^2/2a)=D
    -16/-4=4

    I'm particularly stumped on question a & b because I'm not quite sure what ithe question is asking and I'm not entirly confident that C is correct. Any help is appreciated.
     
  2. jcsd
  3. Sep 15, 2008 #2

    danago

    User Avatar
    Gold Member

    You could use the fact that velocity is just the derivative of displacement with respect to time, and then for (b) just recognize that acceleration is the derivative of velocity.
     
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