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A cheetah Can maintain its 97.1 kilometers per hour and a gazelle can run at a maximum speed of 79.2 kilometers per hour. If both animals are running at full speed, with the gazelle 52.2 meters ahead how long until the cheetah catches its prey?

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Respuesta :

The correct answer is 10498.3.

The speed of an object is calculated when it moves from one spot to another in time interval t by dividing the distance between the two locations by the time interval. As a result of this definition, the longer it will take the object to travel the specified distance, the greater the separation between the two points.

x = x_0 + (v_x) t

In case of cheetah:

x_0 = 0;

v_c = 97.1 km/h

x = 97.1t _____(1)

In case of gazelle;

x_0 = 52.2 m = 52.2 × 10^-3 km

v_c = 79.2 km/hr

x = 52.2 × 10^-3 + 79.2t ______(2)

equating 1 and 2

52.2 × 10^-3 + 79.2t = 97.1t

52.2 × 10^-3 = 97.1t - 79.2t

52.2 × 10^-3 = 17.9t

52.2 × 10^-3×3600/17.9 = t

t = 10498.3

To learn more about speed, distance and time refer the link:

https://brainly.com/question/10566304

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