A student stands at the edge of a cliff and throws stone horizontally over the edge with a speed of V = 22.5 m/s. The cliff is h = 54.0 m above a flat, horizontal beach as shown in the figure. Ⓡ (a) What are the coordinates of the initial position of the stone? xo = | m Yo = Vx= Vy Vo (b) What are the components of the initial velocity? Vox = m/s m/s Voy= (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) x= 7 m y= x (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) v₁= 0 = (e) How long after being released does the stone strike the beach below the cliff? s (f) with what speed and angle of impact does the stone land? m/s below the horizontal

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
icon
Concept explainers
Topic Video
Question

I know Bartleby policy, can you still answer all the questions. 

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of \( v_0 = 22.5 \, \text{m/s} \). The cliff is \( h = 54.0 \, \text{m} \) above a flat, horizontal beach as shown in the figure.

**Diagram Description:**
- A cliff with a vertical height of \( h = 54.0 \, \text{m} \).
- A stone is projected horizontally with an initial velocity \( v_0 = 22.5 \, \text{m/s} \).
- The stone follows a curved trajectory from the top of the cliff to the beach.

**Questions:**

(a) What are the coordinates of the initial position of the stone?
- \( x_0 = \) ____ m
- \( y_0 = \) ____ m

(b) What are the components of the initial velocity?
- \( v_{0x} = \) ____ m/s
- \( v_{0y} = \) ____ m/s

(c) Write the equations for the \( x \)- and \( y \)-components of the velocity of the stone with time. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not include units in your answer.)
- \( v_x = \) ____
- \( v_y = \) ____

(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not state units in your answer.)
- \( x = \) ____
- \( y = \) ____

(e) How long after being released does the stone strike the beach below the cliff?
- \( t = \) ____ s

(f) With what speed and angle of impact does the stone land?
- \( v_f = \) ____ m/s
- \( \theta = \) ____ ° below the horizontal
Transcribed Image Text:A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of \( v_0 = 22.5 \, \text{m/s} \). The cliff is \( h = 54.0 \, \text{m} \) above a flat, horizontal beach as shown in the figure. **Diagram Description:** - A cliff with a vertical height of \( h = 54.0 \, \text{m} \). - A stone is projected horizontally with an initial velocity \( v_0 = 22.5 \, \text{m/s} \). - The stone follows a curved trajectory from the top of the cliff to the beach. **Questions:** (a) What are the coordinates of the initial position of the stone? - \( x_0 = \) ____ m - \( y_0 = \) ____ m (b) What are the components of the initial velocity? - \( v_{0x} = \) ____ m/s - \( v_{0y} = \) ____ m/s (c) Write the equations for the \( x \)- and \( y \)-components of the velocity of the stone with time. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not include units in your answer.) - \( v_x = \) ____ - \( v_y = \) ____ (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: \( t \). Let the variable \( t \) be measured in seconds. Do not state units in your answer.) - \( x = \) ____ - \( y = \) ____ (e) How long after being released does the stone strike the beach below the cliff? - \( t = \) ____ s (f) With what speed and angle of impact does the stone land? - \( v_f = \) ____ m/s - \( \theta = \) ____ ° below the horizontal
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
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