Question

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.​

Answer 1

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

Step-by-step 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=(v-u)/(t)\\\\a=(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+(1)/(2)at^2\\\\40=0+(1)/(2)* 9.24t^2\\\\40=0+4.62t^2\\\\t^2=(40)/(4.62)\\\\t=2.94\ s`

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