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21 April, 07:50

A certain car is capable of accelerating at a rate of 10.60 m/s 2. how long does it take for this car to go from a speed of 55 mi/h to a speed of 60 mi/h

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  1. 21 April, 07:53
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    Given:

    acceleration rate: 10.60 m/s²

    1st speed: 55 mi/hr

    2nd speed: 60 mi/hr

    notice that they use different units. m/s² and mi/hr. We need to convert one unit to the other for uniformity and consistency.

    1 m/s = 2.23694 mi/hr OR 1 mi/hr = 0.44704 m/s

    1st speed: 55 mi/hr → 55mi/hr * 0.44704 m/s / 1mi/hr = 24.5872 m/s

    2nd speed: 60 mi/hr → 60mi/hr * 0.44704 m/s / 1mi/hr = 26.8224 m/s

    Acceleration formula:

    Acceleration = Change in velocity / time → Vf-Vi / t

    10.60 m/s² = (26.8224 m/s - 24.5872 m/s) / t

    10.60 m/s² * t = 2.2352 m/s

    t = 2.2352 m/s : 10.60 m/s²

    t = 0.2109 s.

    It would take 0.2109 seconds to change from 55 mi/hr to 60 mi/hr at 10.60 m/s² acceleration rate.
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