Final answer:
The kinetic energy (E) of the car depends on its mass and velocity. As the car moves on a surface where the coefficient of friction increases linearly with distance (x), the increase in friction will cause a decrease in the car's final velocity and kinetic energy.
Step-by-step explanation:
The kinetic energy (E) of the car depends on its mass and velocity. In this case, as the car moves on a surface where the coefficient of friction increases linearly with distance (x), the car will experience a force opposing its motion that also increases linearly with distance. This force will reduce the car's acceleration and limit its maximum possible acceleration due to the increase in friction.
Since kinetic energy is directly proportional to the square of the velocity, any reduction in acceleration will also affect the car's velocity and therefore its kinetic energy. As the car moves with the maximum possible acceleration, the increase in friction with distance will cause a decrease in the car's final velocity and consequently its kinetic energy.
Therefore, the kinetic energy (E) of the car will depend on the coefficient of friction, which increases linearly with distance (x), resulting in a decrease in the car's final velocity and kinetic energy.