48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is y = (tan20°) - 109. Where on the hill does the projectile land? y₁ 75 m/s 60° y = (tan 20°)x -300 m 109 20°

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...
icon
Related questions
icon
Concept explainers
Topic Video
Question

University Physics 1 - Motion in 2D & 3D
I need help with this problem and a very detailed explanation of the solutions described below:

&

1) using this - general equation of height (y) ->     y = (V0 sina0 )t- 1/2 gt^2 

2) eliminate t from y using first equation x=V0Cos(Degree)t 

3) Plug in given values 

4) equate with given equation to find x , then find y

48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the
horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the
horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is
y = (tan20°)x - 109. Where on the hill does the projectile land?
YA
75 m/s
60°
y = (tan 20°)x - 109
-300 m.
20°
Transcribed Image Text:48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is y = (tan20°)x - 109. Where on the hill does the projectile land? YA 75 m/s 60° y = (tan 20°)x - 109 -300 m. 20°
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
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
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
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
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University