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I'm using this to study for an exam, please write out all steps and include formulas,...

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Physics

I'm using this to study for an exam, please write out all stepsand include formulas, thank you!

The world's fastest land animal, the cheetah, can accelerate at8.75 m/s2 to a top speed of vcmax =30.5 m/s. A cheetah observes a passing gazelle traveling atvg = 19.1 m/s and begins to chase it.

(a) How long, in seconds, does it take thecheetah 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 maximumvelocity?


(c) Assume that d is the distance thecheetah is away from the gazelle when it reaches full speed. Derivean expression in terms of the variables d,vcmax and vg for the time,tc, it takes the cheetah to catch thegazelle.


(d) What is the numeric value for this time,tc in seconds, assuming the cheetah is 32 maway when it reaches maximum velocity?

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