Apostol Calculus problem!! Curvature :)?

Question

A particle moves along a plane curve with constant speed 2. The motion starts at the origin when t=0 and the initial velocity V(vector)(0) is 2i. At every instant its known that the curvature k(t)=4t. Fint the velocity when t= pi/4.

HELP!

Answer 1

Interesting question!!!