Egg Launch: Solving a Physics Problem

AI Thread Summary
An egg is thrown upward from a building and falls 50 meters after 6 seconds. The initial speed calculated for the egg is 80.57 meters/second, derived from breaking the motion into two parts and using a system of equations. The maximum height relative to the starting point is determined to be 331 meters using the Big Five equations. The calculations are questioned due to concerns about accuracy, especially under time constraints during a physics test. The discussion highlights the complexities of solving projectile motion problems in physics.
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This is a one dimensional problem just in case anyone needlessly accounts for horizontal velocity.

An egg is thrown upward from the edge of a building. The egg falls next to the edge (i.e., without hitting it) and after traveling down 50 more meters more, it has been 6 seconds since the egg was released.

a) what is the initial speed of the egg thrown?

I had to break it up into 2 parts ( path before max altitude, and path after). I had a system of equations basically with a time1 and time2 (corresponding to the two different paths) and a net big five equation which had the displacement (-50) as the difference between the displacements of the two paths. This gave me a time (after the egg returned past the edge) of 3.19 seconds, and this led to an initial speed of 80.57 meters/second.

b) What is the maximum height of the egg relative to its start?
This time, using Big five number 5, I got 331 m

I think these are very wrong and they were on my physics test today, which my physics teacher gave me half as much time as everyone else for.
 
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There was another part to this problem, but I forgot the exact wording so I'll leave it out.
 
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