There are many things that can cause this problem in a car. A bad O2 sensor, or even a bad part in the fuel system. (fuel pump, filter or injectors)
White smoke from the exhaust is a sign of coolant in the combustion chamber, and can be a blown head gasket or cracked head. This is very serious and will cause severe engine damage. Have this looked at by a professional. A slight jerking motion in the front while accelerating is possibly torque steer. This is normal. Check this out after dealing with the white smoke, which at this point is your first priority.
check for cracks in the big hose between the air box and the throttle body/carburator may be sucking air,,,,
If the cart is moving at a constant speed in a straight line, it is in uniform motion. If the cart is changing its speed or direction, it is accelerating.
Uniform acceleration motion is a type of motion where the acceleration value is constant.
Motion implies momentum, which implies velocity. Linear implies a straight line. Accelerating implies changing velocity. And uniform implies constancy. So, when an object moves in a straight line and accelerates at a constant rate, you have uniformly accelerating linear motion.
If an object is not accelerating, it can exist in two other states of motion: constant velocity motion (moving with a steady speed in a straight line) or at rest (not moving at all).
The rate at which the speed or direction of its motion is changing.
accelerating
Frame of reference is the measurement or observation that tells you that a car is accelerating. It uses the second law of motion to tell you rather or not the car is accelerating.
An accelerating force is a force that causes an object to change its speed or direction of motion, resulting in acceleration. It can be exerted by various means, such as gravity, friction, or propulsion systems, and its magnitude is directly related to the object's acceleration according to Newton's second law of motion.
Frame of reference is the measurement or observation that tells you that a car is accelerating. It uses the second law of motion to tell you rather or not the car is accelerating.
You are most aware of motion in a moving vehicle when it is accelerating, as you can feel the change in speed more distinctly. When the vehicle is moving steadily in a straight line, the sensation of motion becomes less noticeable because your body has adapted to the constant speed.