Find Curvature, find the curvature k of the curve, where s is the arc length parameter.

Question

r(s)=(3+s)i+j

Answer 1

we want d T/ds
where T = r'(s)/|r'(s)| the unit tangent vector

r'(s) = 1 i + 0 j
|r'(s)| = 1
so
T = i + 0 j
dT/ds = 0
so
k = 0