Rotating coordinate system, velocity

[lemonsare]

Homework Statement

Two coordinate systems xyz (…fixed) and x0y0z0 (moving) coincide at time t = 0.
The moving system is rotating about the …fixed z axis, which coincides with z0 axis. The angular velocity is given by ω = tk = tk0. The position vector as measured in the rotational frame is equal to
r0 (t) = (t + 1) i0 + t^2 j0:
1. Using the rotating frame …find v0.

Homework Equations

ω = tk = tk0
r0 (t) = (t + 1) i0 + t^2 j0

The Attempt at a Solution

So i know to find v0, i cannot just differentiate r0. but i am stuck.

 

[Simon Bridge]

Welcome to PF;
v0 is the velocity in the rotating reference frame?
r0 is the position in the rotating frame wrt time?

You also need to differentiate the unit vectors.
See: http://home.comcast.net/~szemengtan/ClassicalMechanics/SingleParticle.pdf
section 1.8 (p15)