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A car travels at a constant velocity of 60.0 km/h on a level highway for a distance of 10.0 km. The ear accelerates briefly to 70.0 km/h to pass another ear and then returns to 60.0 km/h as it ascends a hill. The car accelerates to 65 km/h as it descends the other side of the hill, even though the driver has taken her foot of the accelerator.

a) Identify the times when the car's engine was doing work on the car.
Explain your answers.
b) Describe the energy transformations (in the form of an energy transformation equation) taking place when the engine was doing work.