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Understanding particular movement

  1. May 3, 2010 #1
    1. The problem statement, all variables and given/known data

    If the time of a particles movement at a certain position can be described

    [tex]t_k = t_{k-1} + \Delta t[/tex]

    write an expression for the velocity at [tex]t_k[/tex]


    2. The attempt at a solution

    if I assume that the corresponding position of the particle is

    [tex]s_k = s_{k-1} + \Delta s[/tex]

    then it follows

    that [tex]\frac{s_k}{t_k} = \frac{t_{k-1} + \Delta t}{s_{k-1} + \Delta s} = \frac{t_{k-1}}{s_{k-1}} + \frac{\Delta s}{\Delta t}[/tex]

    where [tex]\frac{s_{k}-s_{k-1}}{t_{k}-t_{k-1}} = \frac{\Delta s}{\Delta t} = v(t_i)[/tex]

    Can I assume this? No information about s is given. I am just using theory from my textbook..
     
    Last edited: May 3, 2010
  2. jcsd
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