A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.27 m/s. If the acceleration of
the cyclist is constant at -1.67 m/s2, how long will it take the cyclist to come to a complete stop? If the
peak of the hill is 40 m away from the cyclist at t=0, will she have to pedal to reach the top?

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  1. how long does it take for v to drop to zero?
    v(t) = 14.27 - 1.67t
    using that t, the distance moved is
    s(t) = 14.27t - 0.835t^2

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