Question #309458

A cheetah is running at 100. km/hr directly after an antelope which is running at 90.0 km/hr. Assuming both animals run in a straight line, and the antelope is 10.0 m ahead, how long will it take for the cheetah to catch the antelope?


1
Expert's answer
2022-03-13T18:49:42-0400

The reletive speed of the cheetah with respect to the antelope is 100km/h90km/h=10km/h=10000m/h100km/h-90km/h = 10km/h=10000m/h. Thus the cheetah will cover the separating distance of 10m in


t=10m10000m/h=0.001h=3.6st = \dfrac{10m}{10000m/h} = 0.001h = 3.6s

Answer. 3.6s.


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