A cheetah spots a Thomson's gazelle, its preferred prey, and

Last updated: 7/11/2022

A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 s before having to let up. The cheetah is 190 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s² for 5.0 s, then running at constant speed. Part A Does the gazelle escape? No, the cheeatah will approach the gazelle during its run at a constant speed. Yes, the gazelle will run more than the cheetah could run at all during the gazelle's acceleration. No, the cheeatah will approach the gazelle during its acceleration. Yes, but in order to escape gazelle needs to maintain the constant speed for a while. By what distance is the gazelle in front when the cheetah gives up? Express your answer with the appropriate units.