A cheetah can run at approximately 100 km/h and a gazelle at 80.0 km/h.If both animals are running at full speed,with the gazelle 50.0 m ahead,how long before the cheetah catches its prey?
A)9.0 s
B)14 s
C)18 s
D)4.5 s
E)21 s

Question

A cheetah can run at approximately 100 km/h and a gazelle at 80.0 km/h.If both animals are running at full speed,with the gazelle 50.0 m ahead,how long before the cheetah catches its prey?​
A)9.0 s
B)14 s
C)18 s
D)4.5 s
E)​21 s

Quizplus · Accepted Answer

The cheetah catches up at a relative speed of 100 km/h - 80 km/h = 20 km/h. Converting 20 km/h to m/s gives 20 * (1000 m / 3600 s) = 5.56 m/s. The time to catch up is distance/speed = 50.0 m / 5.56 m/s = 9.0 s.

A Cheetah Can Run at Approximately 100 Km/h and a Gazelle