Question $11(1$ point$)$

Two cars are traveling in the same direction on a road at $25\frac{m}{s}$ separated by $6$ meters. The front car slams on their brakes to avoid a deer producing a constant magnitude of acceleration equal to $6\frac{m}{s^2}.$ The car behind has a distracted driver and does not brake at all. Calculate the time, after the front car starts braking, that the collision occurs.

Enter your answer in units of seconds rounding only your final answer to two decimal places.

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Sketch a physical diagram of the situation, include an origin and directions