Was it a fwd car?
Check the power steering pump for the cause of the noise. I sounds like the pump is causing the whining and is either low on fluid or possibly going bad.
bad wheel bearings
A constant force in the direction of the line
If it sounds like its coming from inside the car its probably the fuel pump if not its kind of hard to say.
A computer tower may make a surging noise rather than a constant humming noise if the case's screws are not properly tightened. Another reason for such a surging noise is the imminent failure of a fan.
Certain types of tires may cause a brief humming noise after your initial acceleration. The transmission may also cause a brief humming noise.
1999 Mercury front and humming noises can because by several things. Tire noises are the most common cause. A tire that is not wearing properly can cause a humming noise.
Noises are impossible to correctly diagnoise unless heard. Take it to a garage.
There are several things that can cause your 2002 Ford Taurus to hesitate when accelerating. A dirty air filter will cause the problem.
Loss of power when accelerating can be caused by a number of things. A leak in the fuel line or even a bad alternator can cause this.
The forces acting on the car are unbalanced because it is accelerating by changing direction, even though it has constant speed. Unbalanced forces cause acceleration (change in motion). That is what Newton's first law of motion is about.
Bad wheel bearing