I have not had experience with fuel injected vehicles, assuming yours is, but I have experienced such a thing on many occasions with carburated vehicles. On such, plugged jets in the carburetor actually cause the vehicle to shudder when under load. If the vehicle is fuel injected and hasen't been serviced recently you may want to have this checked out.
Another AnswerIf an automatic vehicle and feels like you're driving over a cattle guard, good chance it's the torque converter that's going out. If so, it doesn't happen so much if you take off from a stop and continue a constant and somewhat aggressive acceleration. It also happens every time if going through a school zone at 35ish for a while, then trying to speed up. That's a torque converter unable to lock up. When you feel it, back off the gas! If that torque converter does come apart inside, your car is going nowhere.GENERALLY, WHEN A FRONT WHEEL DRIVE VEHICLE SHUDDERS WHEN YOU ARE ACCELERATING, IT IS ONE OF THE INSIDE CV JOINTS THAT IS OUT. THERE ARE DRIVE SHAFTS THAT COME OUT OF THE TRANSMISSION, AND THEY HAVE BOOTS ON THE INSIDE CLOSE TO THE TRANSMISSION, AND BOOTS ON THE OUTSIDE CLOSE TO THE WHEELS. THE INSIDE BOOTS AND JOINTS TEND TO SHUDDER UPON ACCELERATION WHEN THEY ARE OUT. HOPE THIS HELPS.
A transmission that stumble upon acceleration between 2nd and 3rd gear may need to be flushed. Another possible cause is that the torque converter is locking when shifting between gears.
Turbo lagging. Remove Inlet tube and check that it spins exceptionally freely,and also check that the wastegate and linkage moves freely.
Depending on age and mileage could be a sloppy timing chain or belt
The centripetal acceleration is equal to velocity squared over radius. a=v^2/r
worn piston rings
The larger the force acting upon an object, the greater the acceleration of the object.
Try balancing the tires,
If a force is unbalanced, it will cause an acceleration upon the object which it is acting. The magnitude of this acceleration can be calculated by dividing the Net Resultant Force by the mass of the object. This comes from Newton's Second Law of Motion, which gives us the equation F=ma, which can be rearranged into F/m=a.
Timing is probably off.
In that case, the acceleration will also increase.
If it is gravitational acceleration then it it is positive in downward and negative in upward direction..if it is not gravitational acceleration then it is depending upon the value of acceleration.