Power, Force, Velocity and Acceration

[Harmony]

Is the statement below wrong?

1. Assume a car is traveling on a frictionless landscape. The car engine has a constant power,P.
2. The engine produces a force, which equals to the total resultant force act upon the car.
3. F=ma. So the car should be traveling in acceration.
4.through time, the velocity increase as there is acceration.
5. Since P is constant, and P=Fv, F shall decrease as v increase. The total resultant force shall decrease throughout time.
6. Acceleration will decrease.

 

[Integral]

Is the statement below wrong?
1. Assume a car is traveling on a frictionless landscape. The car engine has a constant power,P.

This cannot be, in a "frictionless landscape" the car will not move.

2. The engine produces a force, which equals to the total resultant force act upon the car.
3. F=ma. So the car should be traveling in acceration.

Given 2, 3 is incorrect. If the force produced by the engine equals the other forces (I thought this was a frictionless landscape?) Then there is on net force therefore no acceleration. At best, if we ignore, 1. the car moves at a constant velocity.

4.through time, the velocity increase as there is acceration.

No motion, no velocity, no acceleration. OR Constant velocity, no acceleration.

5. Since P is constant, and P=Fv, F shall decrease as v increase. The total resultant force shall decrease throughout time.

Please explain P=Fv ? What is this? Where did it come from? What does it mean?

6. Acceleration will decrease.

There are so many incorrect statements that the last has no meaning.