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)...
Related questions
Question
![**Question:**
A stone is dropped from the edge of a cliff and hits the ground below in 3 seconds. The height of the cliff is approximately:
- ○ 45 m
- ○ 30 m
- ○ 90 m
- ○ 10 m
**Explanation:**
This is a physics problem involving free fall. To find the height of the cliff, we use the formula for the distance covered by an object in free fall, which is \( h = \frac{1}{2} g t^2 \).
- \( g \) is the acceleration due to gravity, approximately \( 9.8 \, \text{m/s}^2 \).
- \( t \) is the time in seconds.
Given \( t = 3 \, \text{s} \):
\[ h = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (3 \, \text{s})^2 \]
\[ h = \frac{1}{2} \times 9.8 \times 9 \]
\[ h = \frac{1}{2} \times 88.2 \]
\[ h \approx 44.1 \, \text{m} \]
Therefore, the height of the cliff is approximately 45 meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F131cad8b-b4e5-402d-8d13-746190881b41%2Ffe145b98-b827-42b1-8632-a4c4e57c2889%2Fd9g9vig_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
A stone is dropped from the edge of a cliff and hits the ground below in 3 seconds. The height of the cliff is approximately:
- ○ 45 m
- ○ 30 m
- ○ 90 m
- ○ 10 m
**Explanation:**
This is a physics problem involving free fall. To find the height of the cliff, we use the formula for the distance covered by an object in free fall, which is \( h = \frac{1}{2} g t^2 \).
- \( g \) is the acceleration due to gravity, approximately \( 9.8 \, \text{m/s}^2 \).
- \( t \) is the time in seconds.
Given \( t = 3 \, \text{s} \):
\[ h = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (3 \, \text{s})^2 \]
\[ h = \frac{1}{2} \times 9.8 \times 9 \]
\[ h = \frac{1}{2} \times 88.2 \]
\[ h \approx 44.1 \, \text{m} \]
Therefore, the height of the cliff is approximately 45 meters.
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