# Kinematics Problem: How High Was Humpty Dumpty's Fall?

• princessotes
In summary, Humpty Dumpty had a great fall from a roof and it took him 2.25 seconds to fall. To calculate the height of the roof, we can use the equation H=ut+1/2at^2, where u is the initial velocity (in this case, 0 m/s), a is the acceleration due to gravity (9.8 m/s^2), and t is the time (2.25 seconds). However, without clear information about Humpty Dumpty's motion, it is difficult to determine the height accurately.

## Homework Statement

Humpty Dumpty had a great fall from a roof. It took him 2.25s to fall. How high was the roof?

## The Attempt at a Solution

princessotes said:

## Homework Statement

Humpty Dumpty had a great fall from a roof. It took him 2.25s to fall. How high was the roof?

## The Attempt at a Solution

The policy here is that you have to show your attempt at a solution. How does Humpty-Dumpty move? with constant velocity? Or does he accelerate?

It seems like a case of free-fall.
u=0,a=g and t is given
Use the equation H=ut+1/2at2
But this is what I presume.There isn't any clear information about the motion of Humpty Dumpty.

Thanks, I got it.

I used H=ut+1/2at2

but it seemed I was inputting the wrong digit to the calculator

## 1. How is the height of Humpty Dumpty's fall determined?

The height of Humpty Dumpty's fall can be determined using the principles of kinematics, which is the branch of physics that deals with the motion of objects. Specifically, we can use the equations of motion to calculate the height based on the initial velocity, the acceleration due to gravity, and the time of the fall.

## 2. What is the initial velocity of Humpty Dumpty's fall?

The initial velocity of Humpty Dumpty's fall can vary depending on the starting point and any additional forces acting on him. However, for the simple case of a stationary Humpty Dumpty falling off a wall, the initial velocity would be zero. This means that Humpty Dumpty started from rest.

## 3. What is the acceleration due to gravity used in the calculation?

The acceleration due to gravity is a constant value of approximately 9.8 meters per second squared. This value is used in the equations of motion to calculate the height of Humpty Dumpty's fall. It represents the rate at which objects accelerate towards the ground due to the force of gravity.

## 4. How long did it take for Humpty Dumpty to fall?

The time of the fall can also be calculated using the equations of motion. However, this value would depend on the initial velocity and height of the fall. Without additional information, it is difficult to determine the exact time of the fall. It is important to note that the time of the fall would be the same regardless of the mass of Humpty Dumpty.

## 5. Is there a maximum height that Humpty Dumpty could have fallen from?

No, there is no maximum height for Humpty Dumpty's fall. As long as he starts from rest and is affected only by the acceleration due to gravity, he can theoretically fall from any height. However, in reality, a fall from a great enough height could result in a fatal impact force. Therefore, it is important to ensure the safety of Humpty Dumpty and use proper protective measures when conducting these calculations.