Vibration when accel'ing and cold

Daughter's 03 Neon has a vibration when the engine/tranny is cold and accelerating. After 2-3 miles, the vibration is gone. Could bad motor mounts cause this? If the motor mounts were bad, seems like it would vibrate constantly and not diminish as the engine/tranny warm up. Advise please! Thanks.

It was the engine mounts....all 3 of them.