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Velocity vectors

  • Thread starter joemama69
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  • #1
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Homework Statement



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.

Homework Equations





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:

Answers and Replies

  • #2
33,173
4,858
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.
 

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