1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Velocity vectors

  1. May 4, 2009 #1
    1. The problem statement, all variables and given/known data

    A particle moves with position function r(t) = t lnt[tex]\hat{i}[/tex] + t[tex]\hat{j}[/tex] + e-t[tex]\hat{k}[/tex]
    Find the velocity vector, speed, and acceleration.

    2. Relevant equations

    3. The attempt at a solution

    [tex]\hat{v}[/tex](t) = (1 + lnt)[tex]\hat{i}[/tex] + [tex]\hat{j}[/tex] - e-t[tex]\hat{k}[/tex]
    [tex]\hat{a}[/tex](t) = 1/t [tex]\hat{}i[/tex] + e-t [tex]\hat{k}[/tex]
    [tex]\left\|[/tex]v(t)[tex]\right\|[/tex] = [tex]\sqrt{lnt + e^(-2t) + 2lnt + 2}[/tex]
    Last edited: May 4, 2009
  2. jcsd
  3. May 5, 2009 #2


    Staff: Mentor

    v(t) and a(t) look good, but you're a little off on ||v(t)||. The ln t term under the radical should be (ln t)2. Maybe you just forgot to put it in while writing the LaTeX code.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook