A car starts from a static position and accelerates uniformly until it reaches a certain speed. If five cars reach the following speeds in the given amounts of time, which car will have gone the farthest distance after 1 second?

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Correct Answer: C. 0 to 55 mph in 3.5 seconds
This can be solved using the formulas of kinetics, but may require some time. However, there is an easier way of solving this. A uniform acceleration implies that the speed increases linearly. So, at the end of the first second, the speed for the first car will be simply 60 / 4 = 15 mph, which is the same for the answer choices B and D as well. The speed after 1 sec for choice C is higher than 15 mph, and that for E is lower than 15 mph. So, the car in C has the highest speed after 1 sec. Since its average speed over this 1 sec period is higher than the rest of the cars, it must have traveled more distance than the others during this period as well.
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