When you press your foot on the gas pedal, it tells the car it needs more gas. The engine then has to take in extra gas. Once it has the extra gas, it must compress the gas, so the gas will have a higher pressure. Once the gas is pressurized, a spark plug goes off, causing the combustion, which powers the car.
The time it takes to do all of that causes the hesitation on initial acceleration.
Your car might hesitate under acceleration when the weather is wet because your tires are worn or because there is water in the gas. You might also have a problem with the fuel injectors.
Could be, time for a tune up.
The car will idle rough and hesitate during acceleration.
You need the initial and final velocities, and time interval to answer this question.
Example sentence - My car has a V8 engine with terrific acceleration.
Its final velocity, the distance covered.
0 km=============================You must specify the initial velocity if any acceleration was there or not.
The pistons are running in the cylinders of the engine, so when the rpm of the engine rises, the pistons quickley build up speed. It is this rapid acceleration of the pistons that casue the car to shake.
A bad o2 sensor can cause this problem in a car. A bad fuel pump, fuel filter or fuel line will also cause hesitation during acceleration.
The answer depends on the car's acceleration which depends on its engine.
If you want acceleration then get a turbo, that easy.
Year, make, model and engine size would help us help you.