As I remember ^^ Because once you start the engine you give it power so it start working, and this power is really so HIGH that your car can start from 0 MPH to 100 MPH or something like this. So for sure it would shake.
it could be your engine mounts are needing replaced
The Corolla could be shaking for many reasons. Start by checking the wheel bearings and brakes for wear. Then check the engine to see if it running rough, causing the shake.
No. Bucking, I would consider an engine performance issue and shaking would be suspension or steering issues.
A bad valve or plug.
Timing needs adjustment is the most likely cause.
your problem is yu have a broken motor mount that will make the car shake when you start it and step on it
go see a mechanic
if the engine light is blinking a misfire condition has been detected. check plugs and wires.l
Does it quit shaking when it warms up? What engine and year of Aerostar?
If the problem disappears when the shifter in placed in neutral it could be a transmission or engine mounts
most likely misfiring cylinder(s) and/or worn engine mounts.