Suppose a car is traveling at 19.3 m/s, and the driver sees a traffic light turn red. After 0.236 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 8.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?

The total distance covered is

Explanation:

From the question we are told that

   The initial speed  of the car is  

   The time taken before breaks where applied is  

     The deceleration is  

The first distance covered before break was applied is mathematically evaluated as

substituting values

The distance covered after break has been applied is mathematically evaluated using the equation f motion as follows

The negative sign is because the car is decelerating  and the final velocity is zero

=>    

substituting values

The total distance covered is  

substituting values

true is the correct answer

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