A projectile is fired at time t = 0.0 s, from point 0 at the edge of a cliff, with initial velocity components of vox = 50 m/s and voy = 800 m/s. The projectile rises, then falls into the sea at point P. The time of flight of the projectile is 200 s. In the figure, the x-coordinate of the projectile when its y-component of velocity equals 640 m/s upward is closest to: 860 m 780 m 820 m 700 m 740 m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section: Chapter Questions
Problem 61PQ: You are watching a friend practice archery when he misses the target completely, and the arrow...
icon
Related questions
icon
Concept explainers
Topic Video
Question

A projectile is fired at time t = 0.0 s, from point 0 at the edge of a cliff, with initial velocity components of vox = 50 m/s and voy = 800 m/s. The projectile rises, then falls into the sea at point P. The time of flight of the projectile is 200 s.

In the figure, the x-coordinate of the projectile when its y-component of velocity equals 640 m/s upward is closest to: 

860 m
780 m
820 m
700 m
740 m
### Parabolic Projectile Motion Representation

The given image is a graphical representation of the parabolic motion of a projectile launched from point \( O \). In this illustration:

- **Axes:**
  - The horizontal axis (x-axis) represents the horizontal distance traveled by the projectile.
  - The vertical axis (y-axis) represents the height of the projectile above the origin.

- **Initial Velocity (\( V_0 \)):**
  - The projectile is launched from the point \( O \) at an angle, with an initial velocity denoted as \( V_0 \). The angular direction of the initial velocity is inclined above the horizontal axis.

- **Trajectory Path:**
  - The curve represents the parabolic trajectory the projectile follows under the influence of gravity.
  - As the projectile is thrown, it initially rises to a certain height and then descends along the parabolic path.

- **Landing Point:**
  - The projectile lands at point \( P \) after traversing a horizontal distance denoted as \( D \).

The diagram effectively visualizes the classical mechanics principles governing projectile motion, demonstrating the effect of gravitational force causing the parabolic path.

This illustration can be used to explain various physical concepts, like resolving the components of initial velocity, calculating the range of the projectile, time of flight, and the maximum height reached, using the equations of motion in mechanics.
Transcribed Image Text:### Parabolic Projectile Motion Representation The given image is a graphical representation of the parabolic motion of a projectile launched from point \( O \). In this illustration: - **Axes:** - The horizontal axis (x-axis) represents the horizontal distance traveled by the projectile. - The vertical axis (y-axis) represents the height of the projectile above the origin. - **Initial Velocity (\( V_0 \)):** - The projectile is launched from the point \( O \) at an angle, with an initial velocity denoted as \( V_0 \). The angular direction of the initial velocity is inclined above the horizontal axis. - **Trajectory Path:** - The curve represents the parabolic trajectory the projectile follows under the influence of gravity. - As the projectile is thrown, it initially rises to a certain height and then descends along the parabolic path. - **Landing Point:** - The projectile lands at point \( P \) after traversing a horizontal distance denoted as \( D \). The diagram effectively visualizes the classical mechanics principles governing projectile motion, demonstrating the effect of gravitational force causing the parabolic path. This illustration can be used to explain various physical concepts, like resolving the components of initial velocity, calculating the range of the projectile, time of flight, and the maximum height reached, using the equations of motion in mechanics.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University