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

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

The world's fastest land animal, the cheetah, can accelerate at 8.75 m/s² to a top speed of v_cmax = 30.5 m/s. A cheetah observes a passing gazelle traveling at v_g = 19.1 m/s and begins to chase it.

(a) How long, in seconds, does it take the cheetah to reach its maximum velocity, v_cmax, assuming its acceleration is constant?

(b) How far, in meters, has the cheetah traveled, d_max,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, v_cmax and v_g for the time, t_c, it takes the cheetah to catch the gazelle.

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

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Expert Solution

genius_generous answered 4 months ago

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