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21 January, 23:23

The driver of a car slams on the brakes, causing the car to

slow down at a rate of 17ft/s2 as the car skids 175ft to a

stop.

How long does the car take to stop?

What was the car's initial speed?

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Answers (1)
  1. 22 January, 03:17
    0
    It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s

    Explanation:

    Given:

    Acceleration, a = - 17 ft/s²

    Distance, s = 175 ft

    Final velocity, v = 0

    Time, t = ?

    Initial speed, u = ?

    We know:

    v² - u² = 2as

    (0) ² - (u) ² = 2 X - 17 X 175

    u² = 5950

    u = 77.14 ft/s

    To calculate time:

    v = u + at

    0 = 77.14 - 17 X t

    17t = 77.14

    t = 4.58 sec

    Therefore, It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s
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