Adriver in a car, originally moving 12.2 m/s, applies the brakes until the car comes to a stop. the car moves a distance of 36.5 m while braking. how much time did it take for the car to stop? assume constant acceleration during braking.

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.

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