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10 November, 03:10

The minimum distance required to stop a car moving at 35.6 mi/h is 40.8 ft. What is the minimum stopping distance, in ft, for the same car moving at 71.5 mi/h, assuming the same rate of acceleration? (60.0 mi/h = 88.0 ft/s).

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  1. 10 November, 03:47
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    Minimum stopping distance = 164.69 ft

    Explanation:

    Speed of car = 35.6 mi/hr = 15.82 m/s

    Stopping distance = 40.8 ft = 12.44 m

    We have equation of motion

    v² = u² + 2as

    0²=15.82² + 2 x a x 12.44

    a = - 10.06 m/s²

    Now wee need to find minimum stopping distance, in ft, for the same car moving at 71.5 mi/h.

    Speed of car = 71.5 mi/h = 31.78 m/s

    We have

    v² = u² + 2as

    0² = 31.78² - 2 x 10.06 x s

    s = 50.2 m = 164.69 ft

    Minimum stopping distance = 164.69 ft
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