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11 November, 07:05

A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2 m/s2m/s2 for 6.5 ss, after which the gazelle continues at a steady speed. What is the gazelles top speed?

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  1. 11 November, 07:07
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    v = 27.3 m/s

    Explanation:

    Given that

    Acceleration, a = 4.2 m/s²

    Time, t = 6.5 s

    Lets take the maximum speed gain by Thomson's = v

    We know that, if acceleration is constant then the speed v is given as

    v = u + a t

    v=final speed

    u=initial speed

    a=acceleration

    t=time

    Here the initial speed of Thomson's, u = 0 m/s

    Now by putting the values in the above equation we get

    v = 0 + 4.2 x 6.5 m/s

    v = 27.3 m/s

    Therefore the maximum speed gain by Thomson will be 27.3 m/s.
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