Free-Fall Physics Problem: Position, Height, Time, and Speed of a Falling Brick

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SUMMARY

The discussion focuses on solving a free-fall physics problem involving a brick that falls from a height of 6.0 meters while being lifted by a crane at a steady velocity of 5.0 m/s. Key equations include the distance formula for constant speed, d = v*t, and the more complex formula for free fall, d = di + Vi*t + ½*a*t², where di is the initial height, Vi is the initial velocity, and a is the acceleration due to gravity (-9.81 m/s²). Participants emphasize calculating the brick's position over time to graph its trajectory and determine the time to hit the ground and its final speed.

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Homework Statement


A load of bricks is lifted by a crane at a steady velocity of 5.0 m/s when one brick falls off 6.0 m above the ground. (a) Sketch the position of the brick y(t) versus time, from the moment it leaves the pallet until it hits the ground. (b) What is the greatest height the brick reaches above the ground? (c) How long does it take to reach the ground? (d) What is its speed just before it hits the ground?


Homework Equations





The Attempt at a Solution


I'm not sure where to even begin. The answers are in the back of the book, and the graph for part A is completely different than I thought. A time interval isn't given. I'm just really unsure of what to do here.
 
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Welcome to PF!
We use formulas to describe the motion of a moving object.
When there is no acceleration, the formula is just d = v*t, where d is the distance, v the constant speed and t the time.
In this problem, there is the acceleration of gravity so the distance formula is more complicated: d = di + Vi*t + ½*a*t²
If you put in the initial distance di = 6, the initial speed for Vi and the acceleration of gravity -9.81 for "a", you can use the formula to find the height d at any given time. Do it for every half second from 0 to 3 or 4 seconds and you'll have enough points to graph the height vs time and answer the other questions.
 

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