Car Catastrophe

Two identical cars are traveling on a road. The first car is travelling at \(\SI[per-mode=symbol]{25}{\meter\per\second}\). The second car is overtaking the first at \(\SI[per-mode=symbol]{30}{\meter\per\second}\).

When they are next to each other, they both notice that the road is blocked ahead by a crashed truck. They apply their brakes at the same time, and the brakes apply an identical force to slow the cars down.

If the first car stops just before the crashed truck, how fast (in m/s) is the second car traveling when it hits the truck? Submit your answer to 2 decimal places.

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