h d Figure 2. The magnitude of the initial velocity of the water is 14.65 directed at an angle 0 = 25° above the horizontal. For projectile motion: Vox = vo cos 0 Voy = v, sin 0 x = x, + Voxt 1 The water leaves the tip of the nozzle a distance h = 8 m y = yo + vot – 5 gt² above the ground. The horizontal distance between the x-position of the nozzle and the point where the water enters Vx = Vox Vy = Voy – gt the window is d = 20 m. a) Draw an x-y coordinate system with all the input data located on the drawing at the appropriate places (initial position and velocity, etc.) b) Resolve the initial velocity vector into its x, and y-components vox and voy. Report both answers to two digits after the decimal point. c) Solve for the time of flight t and the height y at which the water enters the window. Report both answers to two digits after the decimal point. Please Note: The final y-position is where the water enters the window, not the ground! d) Calculate the value of the y-velocity vy, and the magnitude and direction of the final velocity vector of the water as it enters the window. Report both velocities to two digits after the decimal point, and the angle to one digit after the decimal point.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter3: Vectors And Two-Dimensional Motion
Section: Chapter Questions
Problem 70AP: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s...
icon
Related questions
icon
Concept explainers
Topic Video
Question

can you show me how to solve d?

h
d
Figure 2.
The magnitude of the initial velocity of the water is 14.65
directed at an angle 0 = 25° above the horizontal.
For projectile motion:
Vox = vo cos 0
Voy = v, sin 0
x = x, + Voxt
1
The water leaves the tip of the nozzle a distance h = 8 m
y = yo + vot – 5 gt²
above the ground. The horizontal distance between the
x-position of the nozzle and the point where the water enters
Vx = Vox
Vy = Voy – gt
the window is d = 20 m.
a) Draw an x-y coordinate system with all the input data located on the drawing at the
appropriate places (initial position and velocity, etc.)
b) Resolve the initial velocity vector into its x, and y-components vox and voy. Report
both answers to two digits after the decimal point.
c) Solve for the time of flight t and the height y at which the water enters the window.
Report both answers to two digits after the decimal point.
Please Note: The final y-position is where the water enters the window, not the
ground!
d) Calculate the value of the y-velocity vy, and the magnitude and direction of the final
velocity vector of the water as it enters the window. Report both velocities to two
digits after the decimal point, and the angle to one digit after the decimal point.
e) What is the water's maximum height ymax, and how much time tmax since it left the
nozzle does it take to get there? Report the height to two digits after the decimal point,
and the time to three digits after the decimal point.
Transcribed Image Text:h d Figure 2. The magnitude of the initial velocity of the water is 14.65 directed at an angle 0 = 25° above the horizontal. For projectile motion: Vox = vo cos 0 Voy = v, sin 0 x = x, + Voxt 1 The water leaves the tip of the nozzle a distance h = 8 m y = yo + vot – 5 gt² above the ground. The horizontal distance between the x-position of the nozzle and the point where the water enters Vx = Vox Vy = Voy – gt the window is d = 20 m. a) Draw an x-y coordinate system with all the input data located on the drawing at the appropriate places (initial position and velocity, etc.) b) Resolve the initial velocity vector into its x, and y-components vox and voy. Report both answers to two digits after the decimal point. c) Solve for the time of flight t and the height y at which the water enters the window. Report both answers to two digits after the decimal point. Please Note: The final y-position is where the water enters the window, not the ground! d) Calculate the value of the y-velocity vy, and the magnitude and direction of the final velocity vector of the water as it enters the window. Report both velocities to two digits after the decimal point, and the angle to one digit after the decimal point. e) What is the water's maximum height ymax, and how much time tmax since it left the nozzle does it take to get there? Report the height to two digits after the decimal point, and the time to three digits after the decimal point.
Expert Solution
steps

Step by step

Solved in 5 steps with 5 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:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
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
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning