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    Finding Acceleration

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    Hi, I need some assistance completing the following questions:

    A car starting from rest moves with a constant acceleration of 2 m/s^2 for 10 s, then travels with constant speed for another 10 s, and then finally slows to a stop with constant acceleration of -2 m/s^2. How far does it travel?
    a. 400 m
    b. 100 m
    c. 500 m
    d. 300 m
    e. 200 m

    A car with good tires on a dry road can accelerate at about -4.5 m/s^2 when braking. If the car is traveling at 22.0 m/s when the brakes are applied, how far does the car travel before it slows to 10 m/s?
    a. 85.3 m
    b. 66.7 m
    c. 53.8 m
    d. 42.7 m

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    Solution Preview

    Please refer to the attachment.

    For the first question, the answer is A.

    How to get this answer?
    We consider three time intervals

    1) [0,10s]
    In this interval, a car ...

    Solution Summary

    This solution is comprised of a detailed, step by step response which illustrates how to solve both of these physics-based questions. In order to view the response, a Word document file needs to be opened.