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Calculus Level 3

There are 2 cars. There are 2 towns with a straight road connected to each other. The 2 cars head towards the other town at different speeds. The car from town A accelerates at 5km/s^2 at a top speed of 80km/s. The car from Town B accelerates at 10km/s^2 with a top speed of 70km/s. Both cars start at rest. How long is the road from one Town to the other if relativity and gravity are not taken into account and the cars reach the other towns at the same time? (in km)

p.s. get it?


The answer is 2520.

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