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 37.0m below its starting point at a time 5.00 s after it leaves the thrower's hand. Air resistance may be ignored.

Well, isn't that egg-citing! A flying egg is definitely something you don't see every day. Now, let's crack this problem, shall we?

Since we're ignoring air resistance, we can apply good ol' Newton's laws to solve this. When the egg is thrown vertically upward, it experiences a downward force due to gravity. As it reaches its peak and starts to come back down, gravity keeps pulling it down, making it accelerate.

We know that the egg just misses the cornice on the way down, meaning it reaches the same height as the point it was thrown from. So, from the point it passes 37.0m below its starting point, it still has to go back up another 37.0m to reach the starting height.

Now, I could start writing equations, but let's not make an omelette out of this problem just yet. We have a missing ingredient - the initial velocity of the egg. Without this, my yolks won't turn out as fluffy as they should be. Could you please provide me with the initial velocity?

Once I have that, I'll be able to scramble some equations and come up with the answer.

To find the initial velocity (also known as the launch velocity) with which the egg was thrown, we can use the following kinematic equation:

Δy = v₀t + (1/2)at²

Where:
Δy = change in vertical position (37.0 m, in this case)
v₀ = initial velocity
t = time taken (5.00 s, in this case)
a = acceleration due to gravity (-9.8 m/s², considering downward as negative)

Rearranging the equation, we have:

v₀ = (Δy - (1/2)at²) / t

Substituting the given values:

v₀ = (37.0 m - (1/2)(-9.8 m/s²)(5.00 s)²) / 5.00 s

Let's solve the equation step by step:

v₀ = (37.0 m - (1/2)(-9.8 m/s²)(25.0 s²)) / 5.00 s

v₀ = (37.0 m + 122.5 m) / 5.00 s

v₀ = 159.5 m / 5.00 s

v₀ = 31.9 m/s

Therefore, the initial velocity at which the egg was thrown upward is 31.9 m/s.