A bird is flying in R 3 along the curve parametrized by x(t) = t, 2t3 3 , t2 where t denotes time.
(a) Find the speed of the bird as a function of time.
(b) How far does the bird travel between times t = 0 and t = 3?
(c) Find the curvature of the bird's trajectory as a function of t.
(d) Find the torsion as a function of t.