Calculating Initial Speed - Revisited

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SUMMARY

The discussion centers on calculating the initial speed of an egg thrown vertically upward, which is determined to be 14.5 m/s. The problem states that the egg reaches a point 50.0 m below its starting position after 5.00 seconds, and air resistance is negligible. Key questions include determining the maximum height reached, the velocity at that height, and the acceleration at the peak. The participant initially struggled with algebra but successfully identified their errors.

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  • Understanding of kinematic equations in physics
  • Familiarity with concepts of projectile motion
  • Basic algebra skills for solving equations
  • Knowledge of gravitational acceleration (9.81 m/s²)
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  • Study the kinematic equation: \( v = u + at \)
  • Learn how to derive maximum height using \( h = ut + \frac{1}{2}at^2 \)
  • Explore the concept of velocity at the highest point in projectile motion
  • Review examples of problems involving vertical motion and air resistance
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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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Show what you've figured out so far and where you are stuck.
 
Sorry, I found what I was doing wrong. Screwed up the algebra :blushing:
 

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