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26 April, 23:59

9a driver has a reaction time of 0.50 s, and the maximum deceleration of her car is 6.0 m/s2. she is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her.

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  1. 27 April, 01:57
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    The distance traveled during the reaction time is

    d₁ = = (20 m/s) * (0.50 s) = 10 m

    The deceleration is 6.0 m/s²

    The distance, d₂, traveled until the car comes to a complete stop is given by

    (20 m/s) ² - 2 * (6.0 m/s²) * (d₂ m) = 0

    d₂ = 400/12 = 33.333 m

    The total distance traveled before the car comes to rest is

    d₁ + d₂ = 10 + 33.333 = 43.333 m

    Because 43.333 m is less than 50 m, the car will not hit the object.

    Answer:

    The car comes to a stop before reaching the object. It will not hit the object.
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