Egg Drop Free Fall Physics Problem - Kinematics With Two Dimensions

TL;DR

Calculate the distance your friend needs to be from a building in order to drop an egg on their head.

Transcript

let's work on this egg drop physics problem so let's say you're on a roof of a building that is 80 meters above the ground your friend who is 1.6 meters tall is walking alongside the building at a constant speed of 0.8 meters per second where should your friend be if you wish to drop an egg on his head not that you want to do that in real life but ... Read More

Key Insights

• 🤕 The problem involves calculating the horizontal distance for a precise egg drop on a friend's head.
• 🚥 The formula for horizontal displacement is DX = VX * t.
• 🐞 Vertical displacement can be calculated using the equation DY = (1/2) * (-9.8) * t^2.
• 💦 The time it takes for the egg to drop can be found by solving the equation -78.4 = (1/2) * (-9.8) * t^2.
• ⌛ The required distance can be calculated by plugging the time into the formula DX = 0.8 * t.
• 💦 The time it takes for the egg to drop is approximately four seconds.
• 🤒 The final distance for the friend to be is approximately 3.2 meters from the building.

Questions & Answers

Q: How do you calculate the horizontal distance (DX) your friend needs to be from the building?

The horizontal distance can be calculated using the equation DX = VX * t, where VX is your friend's constant speed and t is the time it takes for the egg to drop.

Q: How do you determine the time it takes for the egg to drop?

The time can be found by solving the equation -78.4 = (1/2) * (-9.8) * t^2, where -78.4 is the negative vertical displacement of the egg, -9.8 is the acceleration due to gravity, and t is the time.

Q: What is the equation for vertical displacement (DY) in this problem?

The equation for vertical displacement is DY = (1/2) * (-9.8) * t^2, where -9.8 is the acceleration due to gravity and t is the time it takes for the egg to drop.

Q: Is the initial vertical velocity (VY initial) of the egg relevant in this problem?

No, since the egg is released from rest, the initial vertical velocity is zero, and it does not affect the calculation of vertical displacement.

Summary & Key Takeaways

• The problem involves calculating the horizontal distance your friend needs to be from the building when you release the egg.

• To solve the problem, you need to equate the time it takes for the egg to drop to the time it takes for your friend to walk from their starting position to the point where the egg drops.

• Using equations for horizontal and vertical displacement, as well as motion with constant acceleration, you can calculate the required distance and time.