It's the same problem, you need to let the wheel come to equilibrium on the road surface first, then move it toward the bump.
You could have a 2-step solution. In step 1, there is no forward velocity. The wheel just sits on the road until it stops bouncing.
In step 2, the wheel moves toward the bump or the bump moves toward the wheel. I like the second option better because you can leave the wheel where it is and have a displacement load on the road to move the road to the left.