Finding initial speed of egg thrown upward from a building

[clair_a_net]

K. I was given the problem:

An egg is thrown nearly vertically upward from a point near the cornice of a tall building. It just misses the cornice on the way down and passes a point a distance 50.0 m below its starting point at a time 5.00 s after it leaves the thrower's hand. Air resistance may be ignored.

And I'm trying to find: What is the initial speed of the egg?

so i used the equation Xf=Vo*t+Xo ie: 50+Vo*5+0 getting 10 m/s, but that answer is wrong.

so then i tried Xf= Xo+Vo*t+(1/2)a*t^2 ie 50=0+Vo*5+.5*9.8*5 assuming a=9.8 but that wasn't given. i got 34.5 and that was wrong too. So if anyone has any idea as to what I'm doing wrong or how to get the correct answer let me know.

thanks
clair_a_net
ps if its after 12pm tonight then the homework was already due so thanks for trying anyways. but i would still like to know what I am doing wrong.

 

[Fermat]

...

so then i tried Xf= Xo+Vo*t+(1/2)a*t^2 ie 50=0+Vo*5+.5*9.8*5 assuming a=9.8

...

You have,

50=0+Vo*5+.5*9.8*5

which I assume is just a typo (for the power of t = time) and that you actually used

50=0+Vo*5+.5*9.8*5²

this gives

50 = 5Vo + 122.5
5Vo = -72.5
Vo = -14.5 m/s
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