College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
Part C: Find the height yi from which the rock was launched. Express your answer in meters to three significant figures.
Transcribed Image Text:Learning Goal:
A rock thrown with speed 8.50 m/s and launch angle 30.0° (above the horizontal)
travels a horizontal distance of d = 19.0 m before hitting the ground. From what
height was the rock thrown? Use the value g = 9.800 m/s² for the free-fall
acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle, the initial velocity
components are vix
vocos and viy
vosine.
=
=
SOLVE: The acceleration is known: ax = 0 and
ay -g. Thus, the problem becomes one of two-dimensional kinematics. The kinematic equations are
=
Horizontal
xf = X₁ + V₁x At
Vfx = Vix constant
-
Vertical
Yf = Yi +ViyAt — — 9(At)²,
Vfy = Viy-gat
At is the same for the horizontal and vertical components of the motion. Find At from one component, and then use that value for the other component.
REVIEW: Check that your result has the correct units and significant figures, is reasonable, and answers the question.
Model
Start by making simplifying assumptions: Model the rock as a particle in free fall. You can ignore air resistance because the rock is a relatively heavy object moving relatively slowly.
Transcribed Image Text:Part A
Which diagram represents an accurate sketch of the rock's trajectory?
► View Available Hint(s)
Submit
✓ Correct
Part B
a
Previous Answers
Submit
10
Correct
Uf
As stated in the strategy, choose a coordinate system where the x axis is horizontal and the y axis is vertical. Note that in the strategy, the y component of the projectile's acceleration, ay, is taken to be negative. This implies that the positive y axis is upward. Use the same convention for your y axis, and take the positive x axis to be to the right.
Where you choose your origin doesn't change the answer to the question, but choosing an origin can make a problem easier to solve (even if only a bit). Usually it is nice if the majority of the quantities you are given and the quantity you are trying to solve for take positive values relative to your chosen origin. Given this goal, what location for the origin of the coordinate system would make this problem easiest?
Previous Answers
U₂
At the peak of the trajectory
At the point where the rock strikes the ground
At the point where the rock is released
At ground level below the point where the rock is launched
O At ground level below the peak of the trajectory
U₂
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 3 images
Knowledge Booster
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
- Illustrate and solve the problem. Show the complete solution (in GRESA format), always include the SI units on your solution, express your answer in two decimal places and box your final answer.arrow_forwardBe sure to answer all parts. Carry out the following conversions: (a) 1.25 light-years to miles (a light-year is an astronomical measure of the distance traveled by light in a year, or 365 days; the speed of light is 3.00 × 10° m/s) x 10 mi Enter your answer in scientific notation. (b) 27.3 yd to centimeters x 10 cm Enter your answer in scientific notation. (c) 2.7 × 1010 cm/s to ft/s X 10 ft/s Enter your answer in scientific notation.arrow_forwardHow many centimeters are in 2 kilometers? Write your answer in scientific notation. How long would it take in minutes to travel 5km if you are traveling at a speed of 30 m/s? A ship left shore 3 days ago and has been moving at a constant speed. The cruise ship is now 1440 miles away. What is the average speed in mph?arrow_forward
- Figure 1-4 shows the Sun and the spherical shell of power that the Sun emits as it travels toward Earth. Note that the Earth intercepts only some of the Sun's power, limited by the area of the Earth that faces the Sun. This area is represented as a small circle on the spherical shell labeled "Earth". Sun Earth Ocarth Figure 1-4 Internet Search #4: Conducting a reliable internet search, find the radius of this sphere, i.e. the distance the photons travel from the Sun to the Earth: (Sun-Earth 150 million kilometersarrow_forwardA car is 16 feet, 3 inches long. How long is it in meters? Use the fact that 1 inch=2.54 centim-eters to determine your answer. Explain your reasoning briefly.arrow_forwardMigrating land mammals are often called runners because of the large distances that they can cover in one day. The velocity (speed) of a migrating land mammal or runner in relation to its mass can be modeled by the equation V(m) = 9.31m0.12, where m is the mass of the animal in kilograms and V is the velocity in kilometers per day. Round your answers to the tenths place, if necessary. Part A: Complete the table by determining the velocity of several different runners. Animal Mass (kg) Velocity (km/day) Grey Wolf 40 14.494 OB Zebra American Buffalo African Elephant 270 900 5000 Answer: It will travel 1 18.227 Part B: How does the mass of the elephant compare to the mass of the zebra? How do their velocities compare? 21.062 X Answer: The mass of the elephant is 18.51 elephant is 1.419 x times that of the zebra. Answer: Answer: The mass of the buffalo is 22.5 1.5 ✓o times that of the wolf. OB 25.872✓ O Part C: How does the mass of the buffalo compare to the mass of the wolf? How do their…arrow_forward
- A fence is built in the shape shown by the figure. The fence encloses a square area of side s plus a semi-circular area. The area of the figure can be expressed as some numerical factor times 32. Type in the numerical factor with 3 digits. Exception: if the first digit of the numerical factor is 1, include 4 digits on your answer.arrow_forwardProvide solutions and answer. Thanks.arrow_forwardplease answer part D of this problem. Last person answered the wrong part.arrow_forward
- An ant is crawling along a straight wire, which we shall call the z axis, from A to B to C to D (which overlaps A), as shown in the figure below. (Figure 1) O is the origin. Suppose you take measurements and find that AB is 44 cm, BC is 20 cm,and AO is 4 cmarrow_forwardPlease provide a detailed answerarrow_forwardK https://Ims.mu.edu.sa/webapps/assessment/take/take.jsp?course_assessment_id=_22422 Acapella Extractor |... D EgyBest: .Cn Googlewww.google. D Remaining Time: 34 minutes, 30 seconds. * Question Completion Status: A Moving to another question will save this response. Question 2 If a bicyclist travels 30 kilometers in two hours, her average speed is: 30 km/hr O A. 15 km/hr O B. 60 km/hr O C. O D. 2 km/hr A Moving to another question will save this response.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON