A cheetah can run at a maximum speed

95.4 km/h and a gazelle can run at a max-

imum speed of 74.4 km/h.

If both animals are running at full speed,

with the gazelle 83 m ahead, how long before

the cheetah catches its prey?

Answer in units of s.

d = v * t, where d is the distance and v is the velocity, t is the time

cheetah

v = 95.4 km/h

gazelle

v = 74.4 km/h

d1 = 83m = 0.083 km

when the cheetah catches the gazelle the distances will be equal

95.4t = 74.4t+0.083

t = 0.00395 h * (3600s/1h) = 14.22 s