Projectile Motion: Finding Time

AI Thread Summary
In projectile motion problems, finding time can be challenging when it's not provided. The correct approach involves using the equation for vertical displacement, y = 0.5gt², to solve for time. The user attempted to rearrange the equation but consistently arrived at incorrect time values, affecting subsequent calculations. It's emphasized that the first step is to determine time from the vertical motion before calculating horizontal displacement. Understanding the relationship between vertical and horizontal components is crucial for accurate results.
degrass1fan
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Homework Statement

Ok, so I'm having a lot of trouble finding time when it is not given in a projectile motion problem. Here's what I have set up:

X
A=O
Vi=100.0
VF=100.0
D=?
T=?

Y
A=-9.8
Vi=O
Vf=?
D=8848m
T=?

Homework Equations



Distance(d=1/2at2=vit)




The Attempt at a Solution


Ok, here's where my problem is, I can never get the time right. I have failed 2 tests and numerous homework assigments because something is wrong. Here's my attempt at it:

8848=1/2(-9.8)t2

I divide both sides by 8848 then square root it.


I ALWAYS get the wrong time and in turn that gives me the wrong distance and in turn I fail the test.
 
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The general idea to the projectile motion problems is:

1. Find time using the relationship of displacement in the y-direction.
2. FInd displacement in the x-direction x= v*t keeping in mind that in the x direction the velocity will be constant.

Now in this particular case i believe that you only have to worry about the first step.

y = .5 gt^2 => t = sqrt(2y/g)
 
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