How Fast Does a Cheetah Accelerate Compared to a Human Runner?

[nycjay222]

Kinematics Problem!

A cheetah can accelerate from rest to 26.0 m/s in 2.18 s. Assuming the acceleration is constant over the time interval, what is the magnitude of the acceleration of the cheetah?
ANSWER=1.91x10^1m/s^2

What is the distance traveled by the cheetah in these 2.18 s?
2.83x10^1m

A runner can accelerate from rest to 5.90 m/s in the same time, 2.18 s. What is the magnitude of the acceleration of the runner?
2.71m/s^2

****I DONT KNOW HOW TO DO THIS LAST PART BELOW PLEASE HELP!
By what factor is the cheetah's average acceleration magnitude greater than that of the runner?

 

[AC5FFw]

Wouldn't that just be the runner's acceleration divided by the cheetah's?

 

[tomcue]

To find the factor by which the cheetah's acceleration is greater than the runner's, we can use the formula: factor = acceleration of cheetah / acceleration of runner.

Plugging in the values from the previous calculations, we get:

factor = (1.91x10^1 m/s^2) / (2.71 m/s^2)

= 7.05

This means that the cheetah's average acceleration is 7.05 times greater than the runner's. This is not surprising, as cheetahs are known for their incredible speed and acceleration.