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29 February, 17:58

A bicyclist in the Tour de France crests a mountain pass as he moves at 18km/h. At the bottom, 3.6km farther, his speed is 60km/h. What was his average acceleration (in m/s^2) while riding down the mountain?

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  1. 29 February, 21:43
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    For this case we can use the following kinematic equation:

    Vf ^ 2 = Vo ^ 2 + 2 * a * d

    Where,

    Vf: final speed.

    Vo: initial speed.

    a: acceleration.

    d: distance.

    We cleared the acceleration:

    Vf ^ 2 = Vo ^ 2 + 2 * a * d

    Vf ^ 2-Vo ^ 2 = 2 * a * d

    a = (Vf ^ 2-Vo ^ 2) / (2 * d)

    Substituting the values:

    a = ((60) ^ 2 - (18) ^ 2) / (2 * (3.6))

    a = 455 Km/h^2

    Making change of units:

    a = 455 * (1000 / (3600) ^ 2)

    a = 0.035108025 m / s ^ 2

    Answer:

    his average acceleration (in m/s^2) while riding down the mountain is:

    a = 0.035108025 m / s ^ 2
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