A stone is dropped from the edge of a cliff and hits the ground below in 3 s. The hight of the cliff is approximately 45 m 30 m 90 m О 10 m

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)...
icon
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON