# How Long Does it Take An Object To Fall 5 m From Rest?

• hudsonnkh
In summary, the time it takes for an object to fall 5 m from rest is calculated using the equation t = √(2d/g), where t is the time in seconds, d is the distance in meters, and g is the acceleration due to gravity (9.8 m/s²). The mass of an object does not affect this time, as the acceleration due to gravity is constant for all objects. Air resistance can potentially affect the time by slowing down the object's descent, but it is only significant for objects with a large surface area. Different planets have different gravitational pulls, so the time can vary for an object to fall 5 m. However, the height from which an object is dropped does not affect the time
hudsonnkh

## Homework Statement

How Long Does it Take An Object To Fall 5 m From Rest? (g=10 m/s^2)

None

## The Attempt at a Solution

I have no idea.

Y = Yo + Vot +1/2at^2

Everything is given to you in the question.

I can provide a response to this question by using the equation for time of free fall: t = √(2h/g), where t is the time, h is the height, and g is the gravitational acceleration. Therefore, using the given information of a 5 m fall and a gravitational acceleration of 10 m/s^2, the object would take approximately 1.43 seconds to fall 5 m from rest. However, it is important to note that this is an idealized calculation and real-life factors such as air resistance may affect the actual time of fall. Additionally, the answer may vary slightly depending on the precise definition of "rest" and the initial conditions of the object.

## 1. How is the time it takes for an object to fall 5 m from rest calculated?

The time it takes for an object to fall 5 m from rest is calculated using the equation t = √(2d/g), where t is the time in seconds, d is the distance in meters, and g is the acceleration due to gravity (9.8 m/s²).

## 2. Does the mass of the object affect the time it takes to fall 5 m from rest?

No, the mass of an object does not affect the time it takes to fall 5 m from rest. This is because the acceleration due to gravity is constant for all objects regardless of their mass.

## 3. How does air resistance affect the time it takes for an object to fall 5 m from rest?

Air resistance can affect the time it takes for an object to fall 5 m from rest by slowing down the object's descent. However, this effect is only significant for objects with a large surface area, such as a feather. For objects with a smaller surface area, the effect of air resistance is negligible.

## 4. Is there a difference in the time it takes for an object to fall 5 m on Earth compared to other planets?

Yes, the time it takes for an object to fall 5 m can vary depending on the gravitational pull of the planet. For example, on the moon where the gravitational acceleration is 1.62 m/s², it would take approximately 2.2 seconds for an object to fall 5 m from rest.

## 5. Can the height from which an object is dropped affect the time it takes to fall 5 m from rest?

No, the height from which an object is dropped does not affect the time it takes to fall 5 m from rest. This is because the distance and acceleration due to gravity remains constant regardless of the starting height of the object.

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