Adriver has a reaction time of 0.50 s , and the maximum deceleration of her car is 6.0 m/s^2 . she is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her. what is the distance she passes after noticing the obstacle before fully stopping? express your answer with the appropriate units.

The car stops after 32.58 m.

Explanation:

t = Time taken for the car to stop

u = Initial velocity = 20 m/s

v = Final velocity = 0

s = Displacement

a = Acceleration = -6 m/s²

Time taken by the car to stop

Total Time taken by the car to stop is 0.5+3.33 = 3.83 s

The car stops after 32.58 m.

Distance between car and obstacle is 50-32.58 = 17.42 m

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