A cheetah can run at approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at fullspeed, with the gazelle 70.0 m

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A cheetah can run at approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at fullspeed, with the gazelle 70.0 m ahead, how long before the che

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Nho 5 years 2021-08-25T04:03:27+00:00 1 Answers 40 views 0

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  1. ngocdiep
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    2021-08-25T04:05:06+00:00
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    Answer:

    12.6 seconds

    Explanation:

    With respect to the gazelle, the cheetah has a relative speed of 100 – 80 = 20 km/hr.

    We convert from km/hr to m/s.

    \dfrac{20000\text{ m}}{3600\text{ s}} = \dfrac{50}{9}\text{ m/s}

    At this relative speed, the cheetah will overtake the gazelle in time t given by

    v= \dfrac{d}{t}

    d is the distance and v is the relative speed.

    t = \dfrac{d}{v} = \dfrac{70.0}{50/9} = 12.6\text{ s}

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