Calculating Initial Speed - Revisited

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milosport
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I found the exact question I'm trying figure out here:

https://www.physicsforums.com/showthread.php?t=91948

My exercises are all online and I can view the correct answer if I choose to (or if I answer incorrectly 5 times). Well, now I know the correct answer is 14.5 m/s. I still don't understand how they end up with this. Any clarification would be great! Dumb it down for me!

Here is 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.

What is the initial speed of the egg? apparently 14.5 m/s

It also asks:

How high does it rise above its starting point?

What is the magnitude of its velocity at the highest point?

What is the magnitude of its acceleration at the highest point?
 
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Sorry, I found what I was doing wrong. Screwed up the algebra :blushing: