Curvature When t=0

1. The problem statement, all variables and given/known data



Find the curvature of



##r(t) = \frac 4 9 (1+t)^ \frac 3 2 i + \frac 4 9 (1-t)^ \frac 3 2 j + \frac 1 3 tk## at t=0



2. Relevant equations



k=1/|v| * |dT/dt|



3. The attempt at a solution



Found v.



##v= \frac 2 3 (1+t)^ \frac 1 2 i + \frac 2 3 (1-t)^ \frac 1 2 j + 1/3k##

|v|=1



v/|v|= <(2/3)(1+t)^(1/2), (2/3)(1-t)^(3/2), 1/3>



K(0)=1/1 * |dT/dt|



##= \sqrt( \frac 1 3 ^2 + \frac 1 3 ^2 + \frac 1 3 )= \frac 3 9 =\frac 1 3 ##



Nevermind, got it.