Answer:
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 ,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{26.8-0}{2.9}\\\\a=9.24\ m/s^2[/tex]
Let it will take t seconds. So, using second equation of motion to find it.
[tex]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[/tex]
So, it will take 2.94 s to run 40 meters starting from rest.
