Acceleration due to gravity question?

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SUMMARY

The discussion focuses on calculating the vertical displacement of an object under the influence of gravity, specifically using the formula y = y0 + v0t - 1/2gt², where g is the acceleration due to gravity (9.81 m/s²). The user correctly identifies that the initial velocity in the x-direction does not influence the vertical motion. The key takeaway is that the vertical distance fallen can be determined solely by the time of fall and the gravitational constant.

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jbgibson
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If I know the acceleration of gravity (9.81m/s^2), and I'm given an initial velocity in the positive x direction, how would I go about figuring how far will an object fall in a given time?

I think this a 2-dimension projectile, but I don't see how to solve. If y=yo+volt-1/2gt^2, then y=-1/2gt^2. Any help is greatly appreciated!
 
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The velocity in the x direction won't affect the velocity in the y direction. All you need is that first equation.
 

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