A cheetah can run at a maximum speed
108 km/h and a gazelle can run at a maximum speed of 79.9 km/h.
If both animals are running at full speed,
with the gazelle 75.8 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Question

contestada

Respuesta :

mickymike92 mickymike92 · Answer 1 · 2022-09-13T15:13:38+02:00

The time taken by cheetah to catch its prey is 9.71 s.

Speed is the defined as the distance covered per unit time by a moving body or object.

The speed of the gazelle = 79.9 km/h = 22.2 m/s

speed of the cheetah = 108 km/h = 30 m/s

Let distance covered by gazelle = d

distance covered bet cheetah = d + 75.8

The time taken is same for both = t

time = distance/speed

time taken by cheetah = d + 75.8/30

time taken by gazelle = d/22.2

equating both times: d + 75.8/30 = d/22.2

30 d - 22.2 d = 1682.76

d = 215.7 m

Therefore, time taken by cheetah = (215.7 + 75.8)/30

t = 9.71 s

Learn more about speed and time at: https://brainly.com/question/26046491

#SPJ1