Is my answer right?

A coin with a diameter of 2.4cm is dropped on edge onto a horizontal surface. The coin starts out with an initial angular speed of 18 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular accleration of magnitude 1.9 rad/s^2, how far does the coin roll before coming to a rest?

Using the equation:

where and are the final and initial angular speeds respectively; is the angular acceleration; and is the angular displacement.

So .

Now where is the change in arc length and r is the radius.

So . Is this right?