The fastest land animal is the cheetah, which runs at a speed of up to 101 km/h.

Question

The fastest land animal is the cheetah, which runs at a speed of up to 101 km/h. The second-fastest is the antelope, which runs at a speed of up to 88 km/h. (a). Suppose that a cheetah begins to chase an antelope. If the antelope has a head start of 50 m, how long does it take the cheetah to catch the antelope? How far will the cheetah have traveled by this time?

(b). The cheetah can maintain it's top speed for only about 20 s , where as the antelope can continue at top speed of a considerably longer time. What is the maximum head start the cheetah can allow the antelope?

Explanation / Answer

(a) 101 km/h = 28.056 m/s 88 km/h = 24.44 m/s

28.056m/s*t = 50m+24.44 m/s*t t = 13.85 s

(b) 28.056m/s*20s = 561.11m

Dmax = 561.11m- 24.44 m/s*20s Dmax = 72.22 m

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