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7 December, 10:57

A test car starts from rest on a horizontal circular track of 85-m radius and increases its speed at a uniform rate to reach 115 km/h in 13 seconds. Determine the magnitude a of the total acceleration of the car 11 seconds after the start.

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  1. 7 December, 14:09
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    27.03 m/s.

    Explanation:

    vo = 0 m/s

    vi = 115 km/h

    Converting to m/s,

    115 km/h * 1000 m/1 km * 1 h/3600 s

    = 31.94 m/s.

    Using equation of motion,

    vi = vo + at

    a = 31.94/13

    = 2.46 m/s^2

    After t = 11 s,

    vi = 2.46 * 11

    = 27.03 m/s.
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