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A cheetah can run at a maximum speed
91.8 km/h and a gazelle can run at a max-
imum speed of 77.9 km/h.
If both animals are running at full speed,
with the gazelle 97.3 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Respuesta :

tchrseercalf

Answer:

25 seconds (rounded up to nearest one second)

Explanation:

Cheetah's speed = 91.8 km/h

Gazelle's speed = 77.9 km/h

Both animals are running at full speed with the gazelle 97.3 m ahead.

Converting their respective speeds to m/s ;

Cheetah's speed = [tex]\frac{91.8 * 1000}{3600}[/tex] = 25.5 m/s

Gazelle's speed = [tex]\frac{77.9 * 1000}{3600}[/tex]  = 21.6 m/s (correct to one decimal place)

Assuming the gazelle stops, cheetah will run at 25.5 m/s - 21.6 m/s = 3.9 m/s to catch its prey (gazelle).

Time = distance ÷ speed

The time cheetah will take to catch its prey = 97.3 m ÷ 3.9 m/s = 24.94871795 s = 25 seconds (rounded up to nearest one second)

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