
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Projectile Motion Problem: Calculating Time of Descent**
*A stone is thrown from the top of a building with an initial velocity of 24.6 m/s downward. The top of the building is 69.2 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground?*
---
**Explanation:**
In this problem, you need to determine the time it takes for the stone to reach the ground after it is thrown from the top of the building. The given parameters are:
- Initial velocity (\(v_0\)): 24.6 m/s downward
- Height of the building (\(h\)): 69.2 m
Use the following kinematic equation to solve for time (\(t\)):
\[ h = v_0 t + \frac{1}{2} g t^2 \]
where
- \( g \) is the acceleration due to gravity (approximately 9.81 m/s²).
*Step-by-step solution can be provided as needed for the students to understand the computations involved in solving the quadratic equation to find the time of descent.*](https://content.bartleby.com/qna-images/question/a023f3c3-3186-4c61-aa74-30f5825e9d0f/00cabe3b-eebb-43fc-a8d5-cbf1d1e51d46/ian0qvo_thumbnail.jpeg)
Transcribed Image Text:**Projectile Motion Problem: Calculating Time of Descent**
*A stone is thrown from the top of a building with an initial velocity of 24.6 m/s downward. The top of the building is 69.2 m above the ground. How much time elapses between the instant of release and the instant of impact with the ground?*
---
**Explanation:**
In this problem, you need to determine the time it takes for the stone to reach the ground after it is thrown from the top of the building. The given parameters are:
- Initial velocity (\(v_0\)): 24.6 m/s downward
- Height of the building (\(h\)): 69.2 m
Use the following kinematic equation to solve for time (\(t\)):
\[ h = v_0 t + \frac{1}{2} g t^2 \]
where
- \( g \) is the acceleration due to gravity (approximately 9.81 m/s²).
*Step-by-step solution can be provided as needed for the students to understand the computations involved in solving the quadratic equation to find the time of descent.*
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