Solving Physics Problems: Dropped Stones, Thrown Balls, and Falling Tiles

AI Thread Summary
A spelunker drops a stone into a hole and hears the impact sound after 1.64 seconds, prompting a calculation of the hole's depth using the speed of sound at 343 m/s. A ball is thrown upward from a 25.0-meter building with an initial speed of 12 m/s, and the average speed required for a person running 32.6 meters away to catch the ball is discussed. Additionally, a roof tile falls from rest, taking 0.18 seconds to pass a 1.8-meter window, leading to a query about the height above the window from which it fell. The discussion emphasizes the need for understanding equations related to constant acceleration and gravitational effects to solve these problems. Assistance is requested for all three physics scenarios.
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1. A spelunker (cave explorer) drops a stone from rest into a hole. The speed of sound is 343 m/s in air, and the sound of the stone striking the bottom is heard 1.64 s after the stone is dropped. How deep is the hole?

2. A ball is thrown upward from the top of a 25.0-m-tall building. The ball's initial speed is 12 m/s. At the same instant, a person is running on the ground at a distance of 32.6 m from the building. What must be the average speed of the person if he is to catch the ball at the bottom of the building?

3. A roof tile falls from rest from the top of a building. An observer inside the building notices that it takes 0.18 s for the tile to pass her window, whose height is 1.8 m. How far above the top of this window is the roof?

Homework Equations


Acceleratior = (Vf + Vi) / time displacement

Vector average = (Vf + Vi) / 2

Vector Average = distance displacement / time displacement

The Attempt at a Solution


No clue, if someone could help me that would be great. I can't do either of those 3 for some reason.
 
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Give these a shot... all of them involve acceleration due to gravity. Have you studied equations for constant acceleration?
 

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