Physics: A cheetah can accelerate to 60mph (26.8 m/s) in 2.90 seconds! How long will it take a cheetah to run 40 meters starting from rest? Please show work.

The answer is really simple if you think about it it is...

A cheetah can accelerate to 60mph (26.8 m/s) in

oliviaboils

05.02.2022

It will take 2.94 s to run 40 meters starting from rest.

Explanation:

Given that,

Initial speed of cheetah, u = 0

Final speed of cheetah, v = 26.8 m/s

Time, t = 2.9 s

We need to find how long will it take a cheetah to run 40 meters.

First finding acceleration of cheetah ,

$a=\dfrac{v-u}{t}\\\\a=\dfrac{26.8-0}{2.9}\\\\a=9.24\ m/s^2$

Let it will take t seconds. So, using second equation of motion to find it.

$d=ut+\dfrac{1}{2}at^2\\\\40=0+\dfrac{1}{2}\times 9.24t^2\\\\40=0+4.62t^2\\\\t^2=\dfrac{40}{4.62}\\\\t=2.94\ s$

So, it will take 2.94 s to run 40 meters starting from rest.

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