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12 November, 16:24

For typical rubber-on-concrete friction, what is the shortest time in which a car could accelerate from 0 to 60 mph? suppose that μs=1.00 and μk=0.80

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  1. 12 November, 19:14
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    The shortest time would be 2.0051 seconds or 2.01 seconds if rounded off to the nearest tens.

    below is the solution:

    ΣF = ma

    ⇔ μsmg + μkmg + μrmg = mΔv/t

    ⇔ t = Δv/[ (μs + μk + μr) g]

    Δv = 80 - 0 = 80 mph ≈ 35.7632 m/s and g = 9.8 m/s²

    t ≈ 2.0051
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