Physics

To calculate the average power required to accelerate the car, we can follow these steps:

Use the work-energy principle

 

The work done to accelerate the car is equal to the change in kinetic energy. The car starts from rest, so the initial kinetic energy is zero, and the final kinetic energy is given by:

where:

(mass of the car),

(final speed of the car).

 

Substitute the values:

Thus, the work done to accelerate the car is .

 

Calculate the time taken to accelerate

We know that the car accelerates uniformly over a distance of 500 meters. We can use the kinematic equation:

where:

(initial speed),

(final speed),

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