First we have to calculate the acceleration of the car,
Here, u is initial velocity of the car and its value is given 12.2 m/s and v is final velocity of the car and it comes to stop, so its value zero.
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As during the braking the acceleration is constant, from the kinematic equation,
Here, s is the distance traveled by the car during braking and its value is given 36. 5 m.
Substituting all the values in kinematic equation, we get
Therefore, car will stop after 5.98 s.