Velocity Vectors: Speed & Acceleration

[joemama69]

Homework Statement

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

Homework Equations

The Attempt at a Solution

\hat{v}(t) = (1 + lnt)\hat{i} + \hat{j} - e^-t\hat{k}
\hat{a}(t) = 1/t \hat{}i + e^-t \hat{k}
\left\|v(t)\right\| = \sqrt{lnt + e^(-2t) + 2lnt + 2}

 

[Mark44]

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.