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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 170 m from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible react ion time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s2 for 5.0 s, then running at constant speed. Does the gazelle escape? If so, by what distance is the gazelle in from when the cheetah gives up?
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Chapter 2 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
- A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 270 mm 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/s2m/s2 for 5.0 ss, then running at constant speed. Does the gazelle escape? 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. No, the cheeatah will approach the gazelle during its run at a constant speed.arrow_forwardA cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 270 mm 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/s2m/s2 for 5.0 ss, then running at constant speed. By what distance is the gazelle in front when the cheetah gives up?arrow_forwardA rail gun shoots a projectile in a straight line with acceleration aa and in time tt as defined by the equation a(t)=3−2t. If the projectile from the launcher reaches a velocity of 10 at t=1 and if s(t) is the distance of the projectile from the rail gun at time t, find s(5)−s(1)arrow_forward
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