The question asks "a car with initial velocity v0 speeds up to twice its initial speed before slowing back down to its original speed all within 60seconds. What is the total power exerted on the car over the full minute", the answer to this question was that the power exerted is zero because the vf and vi are both the same so total power remains zero. However I was wondering what if the car speeds up at a faster rate and slows down at a slower rate or vice versa? Does that change the overall power exerted on the car since Δt changes for when it speeds up and slow down? Is the question making an assumption that the car speeds up and slow down at the same rate?

The question asks "a car with initial velocity v0 speeds up to twice its initial speed before slowing back down to its original speed all within 60seconds. What is the total power exerted on the car over the full minute", the answer to this question was that the power exerted is zero because the vf and vi are both the same so total power remains zero. However I was wondering what if the car speeds up at a faster rate and slows down at a slower rate or vice versa? Does that change the overall power exerted on the car since Δt changes for when it speeds up and slow down? Is the question making an assumption that the car speeds up and slow down at the same rate?

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