While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.00 m/s. The stone subsequently falls to the ground, which is 14 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use g= 9.81 m/s2 for the acceleration due to gravity. (See the diagram below.) Vyi = 7.00 m/s- Stone 14.0 m Vyf O a. 15 m/s O b. 12 m/s O c. 21 m/s O d. 24 m/s O e. 18 m/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement**

While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.00 m/s. The stone subsequently falls to the ground, which is 14 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use \( g = 9.81 \, \text{m/s}^2 \) for the acceleration due to gravity. 

**Diagram Explanation**

The diagram illustrates the trajectory of the stone:

- The stone is thrown upward with an initial vertical velocity (\( v_{yi} \)) of 7.00 m/s.
- It reaches a peak height where its velocity momentarily becomes zero before descending.
- The stone descends a total vertical distance of 14 meters to the point of impact.
- \( v_{yf} \) represents the final velocity of the stone just before impact.

**Velocity Options**

- a. 15 m/s
- b. 12 m/s
- c. 21 m/s
- d. 24 m/s
- e. 18 m/s

The diagram uses directional arrows to show the initial upward motion and the final downward motion of the stone.
Transcribed Image Text:**Problem Statement** While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.00 m/s. The stone subsequently falls to the ground, which is 14 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use \( g = 9.81 \, \text{m/s}^2 \) for the acceleration due to gravity. **Diagram Explanation** The diagram illustrates the trajectory of the stone: - The stone is thrown upward with an initial vertical velocity (\( v_{yi} \)) of 7.00 m/s. - It reaches a peak height where its velocity momentarily becomes zero before descending. - The stone descends a total vertical distance of 14 meters to the point of impact. - \( v_{yf} \) represents the final velocity of the stone just before impact. **Velocity Options** - a. 15 m/s - b. 12 m/s - c. 21 m/s - d. 24 m/s - e. 18 m/s The diagram uses directional arrows to show the initial upward motion and the final downward motion of the stone.
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