The driver is looking at her phone and has a total reaction time of 4.6 seconds as the car is moving at a constant speed of 11m/s. If the d

Question

The driver is looking at her phone and has a total reaction time of 4.6 seconds as the car is moving at a constant speed of 11m/s. If the driver slams in her brake and slow down at a rate of -8.2m/s, what is the stopping distance for a car in this situation?

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Thu Cúc 7 months 2021-07-20T21:44:45+00:00 1 Answers 18 views 0

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    2021-07-20T21:46:14+00:00

    Answer:

    The stopping distance is 36.15m

    Explanation:

    In this exercise we are going to apply the second equation of motion to model the situation

    s=ut-\frac{1}{2}at^2

    Given data

    time in seconds= 4.6 seconds

    speed v= 11 m/s

    deacceleration a= 8.2m/s

    Substituting this values into the expression for distance we have

    s=11*4.6-\frac{1}{2}*8.2*4.6^2 \\\\s=50.6-\frac{1}{2}*8.2*21.16 \\\\s=50.6-\frac{1}{2}*173.512 \\\\\s=50.6-86.756 \\\\s=36.15m

    The stopping distance is 36.15m

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