Egg Launch: Solving a Physics Problem

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SUMMARY

The physics problem involves an egg thrown upward from a building, falling 50 meters after 6 seconds. The initial speed calculated is 80.57 meters/second, derived from a system of equations that separates the motion into two parts: ascent and descent. The maximum height reached by the egg relative to its starting point is determined to be 331 meters using the kinematic equations. The calculations were performed under time constraints during a physics test.

PREREQUISITES
  • Understanding of kinematic equations, specifically the "big five" equations of motion.
  • Knowledge of projectile motion concepts, including vertical velocity and acceleration due to gravity.
  • Ability to solve systems of equations in physics contexts.
  • Familiarity with time-distance relationships in one-dimensional motion.
NEXT STEPS
  • Study the "big five" kinematic equations in detail for better problem-solving skills.
  • Practice problems involving projectile motion to solidify understanding of vertical velocity and acceleration.
  • Explore advanced topics in physics such as energy conservation in projectile motion.
  • Review techniques for solving systems of equations in physics applications.
USEFUL FOR

Students preparing for physics exams, educators teaching kinematics, and anyone interested in mastering projectile motion problems.

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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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