From rest, the cheetah can accelerate at 8.8 m/s2 and reach a top speed of 30 m/s (108 km/h)! It can maintain this maximum speed over a distance of about 400 meters before it needs to stop. On the other hand, the Thomson’s gazelle has a top speed of 70 km/h, which is less than the cheetah’s, but it can maintain this top speed for a while as well. From rest, the gazelle can accelerate at 4.5 m/s2 to reach its top speed. Q1. After what total distance from rest must the cheetah stop? (clearly show calculations) Q2. In the elapsed time that the cheetah started and must stop, what distance can the gazelle cover? (again clearly show your calculations)

From rest, the cheetah can accelerate at 8.8 m/s2 and reach a top speed of 30 m/s (108 km/h)! It can maintain this maximum speed over a distance of about 400 meters before it needs to stop. On the other hand, the Thomson’s gazelle has a top speed of 70 km/h, which is less than the cheetah’s, but it can maintain this top speed for a while as well. From rest, the gazelle can accelerate at 4.5 m/s2 to reach its top speed. Q1. After what total distance from rest must the cheetah stop? (clearly show calculations) Q2. In the elapsed time that the cheetah started and must stop, what distance can the gazelle cover? (again clearly show your calculations)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 64AP: To pass a physical education class at a university, a student must run 1.0 mi in 12 min. After...

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From rest, the cheetah can accelerate at 8.8 m/s2 and reach a top speed of 30 m/s (108 km/h)! It can maintain this maximum speed over a distance of about 400 meters before it needs to stop.On the other hand, the Thomson’s gazelle has a top speed of 70 km/h, which is less than the cheetah’s, but it can maintain this top speed for a while as well. From rest, the gazelle can accelerate at 4.5 m/s2 to reach its top speed. When a cheetah goes after a gazelle, success or failure is a simple matter of kinematics: you will determine if the cheetah’s high speed is enough to allow it to reach its prey before it runs out of steam (or time).You will apply basic kinematics and simple assumptions to determine how a chase can play out. The Scene:A cheetah has spotted a gazelle. At the same instant the cheetah leaps into action, the gazelle has spotted him and starts heading directly away.Q1. After what total distance from rest must the cheetah stop? (clearly show calculations and substitutions) Q2.…
From rest, the cheetah can accelerate at 8.8 m/s2 and reach a top speed of 30 m/s (108 km/h)! It can maintain this maximum speed over a distance of about 400 meters before it needs to stop.On the other hand, the Thomson’s gazelle has a top speed of 70 km/h, which is less than the cheetah’s, but it can maintain this top speed for a while as well. From rest, the gazelle can accelerate at 4.5 m/s2 to reach its top speed. When a cheetah goes after a gazelle, success or failure is a simple matter of kinematics: you will determine if the cheetah’s high speed is enough to allow it to reach its prey before it runs out of steam (or time).You will apply basic kinematics and simple assumptions to determine how a chase can play out. Q2. In the elapsed time that the cheetah started and must stop, what distance can the gazelle cover? (again clearly show your calculations) Why is the 70 multiplied by 5/18?
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