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

  • Thread starter nycjay222
  • Start date
  • Tags
    Kinematics
In summary, A cheetah can accelerate from rest to 26.0 m/s in 2.18 s with an acceleration of 1.91x10^1m/s^2. The distance traveled in this time is 2.83x10^1m. A runner can accelerate from rest to 5.90 m/s in the same time with an acceleration of 2.71m/s^2. The cheetah's average acceleration magnitude is greater than that of the runner by a factor of approximately 7.05.
  • #1
nycjay222
7
0
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?
 
Physics news on Phys.org
  • #2


Wouldn't that just be the runner's acceleration divided by the cheetah's?
 
  • #3


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.
 

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

What is the Kinematics cheetah problem?

The Kinematics cheetah problem is a physics problem that involves using kinematics equations to analyze the motion of a cheetah. It typically involves determining the cheetah's position, velocity, and acceleration at different points in time.

What are the main kinematics equations used to solve the cheetah problem?

The main kinematics equations used to solve the cheetah problem are the equations for displacement (Δx = v0t + ½at^2), velocity (v = v0 + at), and acceleration (a = (vf - v0)/t), where v0 is the initial velocity, vf is the final velocity, t is time, and a is acceleration.

How does the cheetah's speed affect its motion in the problem?

The cheetah's speed affects its motion in the problem by determining how far it travels in a given amount of time. The faster the cheetah's speed, the greater its displacement and the larger its velocity and acceleration will be.

What other factors may affect the cheetah's motion in the problem?

Other factors that may affect the cheetah's motion in the problem include its mass, any external forces acting on it (such as friction or air resistance), and the terrain it is running on. These factors can impact the cheetah's acceleration and therefore affect its position and velocity at different points in time.

How can the kinematics cheetah problem be applied in real life?

The kinematics cheetah problem can be applied in real life to study the movement of actual cheetahs or other animals, as well as in the development of robots and other machines that mimic the movements of cheetahs. It can also be used to analyze the motion of objects in sports, such as a baseball being thrown or a car accelerating on a track.

Similar threads

Question about Projectile Motion: Throwing a Flower Pot from a Balcony
Replies
18
Views
734
Calculating Headstart for a Cheetah Chasing an Antelope
Replies
2
Views
7K
Calculating Acceleration, Displacement for 100m Sprint
Replies
2
Views
4K
Cheetah Acceleration: Solving Homework Problem in 3.2s
Replies
2
Views
1K
How Much Power Does a Cheetah Generate During Acceleration?
Replies
8
Views
8K
Constant Acceleration of a cheetah
Replies
15
Views
4K
What is the net acceleration of the coin on a rotating disk?
Replies
2
Views
2K
Kinematics Equation Help: Calculating Runner's Acceleration for 10,000m Run
Replies
2
Views
2K
How Does Nick's Acceleration Change When His Friend Pulls the Rope?
Replies
6
Views
3K
Why Does My Displacement Calculation Exceed the Sprint Distance?
Replies
11
Views
6K

Hot Threads

Recent Insights

Back
Top