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25 June, 19:17

A car starts from rest, then accelerates at 1.20 m/s^2 fo 7.00 s. It hits the brakes, slowing to a stop at a rate of - 4.25 m/s^2. What is the total time for the problem? (Unit = s)

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  1. 25 June, 19:29
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    Answer: 8.976 seconds

    Explanation:

    Initial Velocity (u) = 0

    Acceleration (a) = 1.20 m/s^2

    Time taken (t) = 7s

    Negative acceleration = - 4.25 m/s^2

    To calculate the total time taken:

    Time taken during the first phase of movement = 7 seconds

    Final Velocity attained (V) equals:

    Using v = u + at

    v = 0 + 1.20 (7)

    v = 0 + 8.4

    v = 8.4m/s

    Therefore, time taken to bring the car to a stop.

    Here final Velocity (v) = 0;

    Initial Velocity (u) = 8.4m/s

    From v = u + at

    0 = 8.4 + (-4.25) t

    0 = 8.4 - 4.25t

    4.25t = 8.4

    t = 8.4 / 4.25

    t = 1.976 seconds

    Therefore, total time taken equals:

    7s + 1.976s = 8.976seconds
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