Find distance fallen given time of fall

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In summary, given the time of fall, it is possible to calculate the distance fallen using the formula d=1/2gt^2, where d is the distance fallen, g is the acceleration due to gravity (9.8 m/s^2), and t is the time of fall. This formula applies to objects falling in a vacuum, but can also be used to estimate the distance fallen for objects falling in air. By plugging in the known values, the distance fallen can be determined and used for various calculations and experiments.
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Spenceriscool
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1.An object is dropped, and falls for 4.7 seconds before hitting the ground, how high is the object when it was dropped?2. D= 1/2a[t/f][v/i][t][/i]
D= 1/2a[t][/f]
[T][/f]= 2D/a

The Attempt at a Solution


D=1/29.8*4.7
D= 23 meters
 
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  • #2
Welcome to PF!

Your post is terribly formatted. How do you expect anyone to answer?

Basically you start with d= 1/2 * g * t^2 and you know g=9.8 m/s/s and you have t=4.7 secs so just plug it in.

In your case, you need to use t^2 not t in your computation.
 
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Nice reference Andre.
 

Related to Find distance fallen given time of fall

What is the formula for finding distance fallen given time of fall?

The formula for finding distance fallen given time of fall is: distance = (1/2) x gravity x (time of fall)^2. This formula assumes constant acceleration due to gravity.

How is time of fall defined in this context?

Time of fall refers to the total amount of time that an object has been falling. It is typically measured in seconds.

Does the mass of the object affect the distance fallen?

No, the mass of the object does not affect the distance fallen. This formula only takes into account the acceleration due to gravity, which is constant for all objects regardless of their mass.

What is the value of gravity used in this formula?

The value of gravity used in this formula is typically 9.8 meters per second squared (m/s^2), which is the average acceleration due to gravity on Earth.

Can this formula be used for objects falling in a vacuum?

Yes, this formula can be used for objects falling in a vacuum. As long as the acceleration due to gravity is constant, this formula will accurately calculate the distance fallen.

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