Finding resultant velocity from angular acceleration

[Michael Fox]

Homework Statement

Michael starts spinning the rope at a rate of 2.00 rad/s^2 while he starts running towards the target at 4.00m/s^2. This distance betweens Michael's elbow and the end of the rope form a straight 1.2m segment. If Michael takes 3 seconds before he launches the rope at the target, what is the resultant velocity of the rope when it leaves Michael's hand.

Homework Equations

at= (v2-v1)/2 (i think)
at=ra (at= linear acceleration, a = angular acceleration)

The Attempt at a Solution

I believe to solve I would have to convert angular acceleration to angular velocity but I cannot figure out how to do that. Any help clarifying or a diagram would be huge. Thank you for reading

 

[Orodruin]

What is the relation between angular acceleration and angular velocity? What is the relation between angular velocity and velocity?

 

[BiGyElLoWhAt]

You probably have some kinematic equations that can handle that "transformation".