The world's fastest land animal, the cheetah, can accelerate at 8.15 m/s2 to a top speed of vcmax = 30.5 m/s. A cheetah observes a passing gazelle traveling at vg = 18.1 m/s and begins to chase it. a) How long, in seconds, does it take the cheetah to reach its maximum velocity, vcmax, assuming its acceleration is constant? b) How far, in meters, has the cheetah traveled, dmax,vel, when it reaches it maximum velocity? c) Assume that d is the distance the cheetah is away from the gazelle when it reaches full speed. Derive an expression in terms of the variables d, vcmax and vg for the time, tc, it takes the cheetah to catch the gazelle.
The world's fastest land animal, the cheetah, can accelerate at 8.15 m/s2 to a top speed of vcmax = 30.5 m/s. A cheetah observes a passing gazelle traveling at vg = 18.1 m/s and begins to chase it. a) How long, in seconds, does it take the cheetah to reach its maximum velocity, vcmax, assuming its acceleration is constant? b) How far, in meters, has the cheetah traveled, dmax,vel, when it reaches it maximum velocity? c) Assume that d is the distance the cheetah is away from the gazelle when it reaches full speed. Derive an expression in terms of the variables d, vcmax and vg for the time, tc, it takes the cheetah to catch the gazelle.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The world's fastest land animal, the cheetah, can accelerate at 8.15 m/s2 to a top speed of vcmax = 30.5 m/s. A cheetah observes a passing gazelle traveling at vg = 18.1 m/s and begins to chase it.
a) How long, in seconds, does it take the cheetah to reach its maximum velocity, vcmax, assuming its acceleration is constant?
b) How far, in meters, has the cheetah traveled, dmax,vel, when it reaches it maximum velocity?
c) Assume that d is the distance the cheetah is away from the gazelle when it reaches full speed. Derive an expression in terms of the variables d, vcmax and vg for the time, tc, it takes the cheetah to catch the gazelle.
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