Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 73P
Consider the two projectiles in GOT IT? 3.5. Suppose the 45° projectile is launched with speed v and that it’s in the air for time t. Find expressions for (a) the launch speed and (b) the flight time of the 60° projectile, in terms of v and t.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Trachecktory. Two cannonballs, aptly named a and B, were launched on level ground. a
was launched with a velocity of 18.0 [m/s] at 36° with respect to the ground while B was
launched with a velocity of 17.6 [m/s] at 48° with respect to the ground. What can you say
about a and B's range and time of flight?
O a and B have the same range; a has a larger time of flight.
O a and B have the same range; B has a larger time of flight.
O a and B do not have the same range; B has a larger time of flight.
O a and B do not have the same range; a has a larger time of flight.
Consider a projectile being launched with an initial speed of 58 m/s at a variety of initial angles.
What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 78.3°?
This problem will involve deriving a formula or two for a projectile launched from one height and
angle and landing at a different height on Earth.
Begin with a projectile launched at angle 0 above horizontal from a height y₁ with initial velocity
Vo. The projectile lands at a point with height y₂. These are the given quantities: vo, 0, y₁, y2
and g.
Construct formulae for each of the following, as. a function of given quantities
the horizontal distance traveled.
the maximum height reached.
the time taken.
the angle of impact. (find the final velocity components first).
Chapter 3 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 3.1 - Which vector describes a displacement of 10 units...Ch. 3.2 - An object is accelerating downward. Which, if any,...Ch. 3.3 - An airplane is making a 500-km trip directly north...Ch. 3.4 - An object is moving initially in the +x-direction....Ch. 3.5 - Two projectiles are launched simultaneously from...Ch. 3.6 - An object moves in a horizontal plane with...Ch. 3 - Under what conditions is the magnitude of the...Ch. 3 - Can two vectors of equal magnitude sum to zero?...Ch. 3 - Repeat Question 2 for three vectors. 2. Can two...Ch. 3 - Can an object have a southward acceleration while...
Ch. 3 - Youre a passenger in a car rounding a curve. The...Ch. 3 - In what sense is Equation 3.8 really two (or...Ch. 3 - Is a projectiles speed constant throughout its...Ch. 3 - Is there any point on a projectiles trajectory...Ch. 3 - How is it possible for an object to be moving in...Ch. 3 - Youre in a bus moving with constant velocity on a...Ch. 3 - Which of the following are legitimate mathematical...Ch. 3 - You would probably reject as unscientific any...Ch. 3 - You walk west 220 m, then north 150 m. What are...Ch. 3 - An ion in a mass spectrometer follows a...Ch. 3 - A migrating whale follows the west coast of Mexico...Ch. 3 - Vector A has magnitude 3.0 m and points to the...Ch. 3 - Use unit vectors to express a displacement of 120...Ch. 3 - Find the magnitude of the vector 34 + 13 m and...Ch. 3 - (a) Whats the magnitude of + ? (b) What angle...Ch. 3 - Youre leading an international effort to save...Ch. 3 - An object is moving at 18 m/s at 220...Ch. 3 - A car drives north at 40 mi/h for 10 min, then...Ch. 3 - An objects velocity is v = ct3 + d, where t is...Ch. 3 - A car, initially going eastward, rounds a 90 curve...Ch. 3 - What are (a) the average velocity and (b) the...Ch. 3 - An ice skater is gliding along at 2.4 m/s, when...Ch. 3 - An object is moving in the x-direction at 1.3 m/s...Ch. 3 - Youre a pilot beginning a 1500-km flight. Your...Ch. 3 - You wish to row straight across a 63-m-wide river....Ch. 3 - A plane with airspeed 370 km/h flies...Ch. 3 - A flock of geese is attempting to migrate due...Ch. 3 - The position of an object as a function of time is...Ch. 3 - Youre sailboarding at 6.5 m/s when a wind gust...Ch. 3 - You toss an apple horizontally at 8.7 m/s from a...Ch. 3 - A carpenter tosses a shingle horizontally off an...Ch. 3 - An arrow fired horizontally at 41 m/s travels 23 m...Ch. 3 - Droplets in an ink-jet printer are ejected...Ch. 3 - Protons drop 1.2 m over the 1.7-km length of a...Ch. 3 - If you can hit a golf ball 180 m on Earth, how far...Ch. 3 - Chinas high-speed rail network calls for a minimum...Ch. 3 - The minute hand of a clock is 7.50 cm long. Find...Ch. 3 - How fast would a car have to round a 75-m-radius...Ch. 3 - Estimate the acceleration of the Moon, which...Ch. 3 - Global Positioning System (GPS) satellites circle...Ch. 3 - Two vectors A and B have the same magnitude A and...Ch. 3 - Prob. 46PCh. 3 - Let A = 15 40 and B = 31 + 18k. Find C such that...Ch. 3 - A biologist looking through a microscope sees a...Ch. 3 - A particles position is r = (ct2 2dt3) + (2ct2 ...Ch. 3 - For the particle in Problem 49, is there any time...Ch. 3 - Youre designing a cloverleaf highway interchange....Ch. 3 - An object undergoes acceleration 2.3 + 3.6 m/s2...Ch. 3 - The New York Wheel is the worlds largest Ferris...Ch. 3 - A ferryboat sails between towns directly opposite...Ch. 3 - The sum of two vectors, A + B, is perpendicular to...Ch. 3 - Write an expression for a unit vector at 45...Ch. 3 - An object is initially moving in the .x-direction...Ch. 3 - A particle leaves the origin with its initial...Ch. 3 - A kid fires a squirt gun horizontally from 1.6 m...Ch. 3 - A projectile has horizontal range R on level...Ch. 3 - You throw a baseball at a 45 angle to the...Ch. 3 - In a chase scene, a movie stuntman runs...Ch. 3 - Standing on the ground 3.0 m from a building, you...Ch. 3 - Derive a general formula for the horizontal...Ch. 3 - Consider two projectiles launched on level ground...Ch. 3 - You toss a protein bar to your hiking companion...Ch. 3 - The table below lists position versus time for an...Ch. 3 - A projectile launched at angle to the horizontal...Ch. 3 - As an expert witness, youre testifying in a case...Ch. 3 - Show that, for a given initial speed, the...Ch. 3 - A basketball player is 15 ft horizontally front...Ch. 3 - Two projectiles are launched simultaneously from...Ch. 3 - Consider the two projectiles in GOT IT? 3.5....Ch. 3 - The portion of a projectiles parabolic trajectory...Ch. 3 - A jet is diving vertically downward at 1200 km/h....Ch. 3 - Your alpine rescue team is using a slingshot to...Ch. 3 - If you can throw a stone straight up to height h....Ch. 3 - In a conversion from military to peacetime use, a...Ch. 3 - A soccer player can kick the ball 28 m on level...Ch. 3 - A diver leaves a 3-m board on a trajectory that...Ch. 3 - Prob. 81PCh. 3 - You're a consulting engineer specializing in...Ch. 3 - Differentiate the trajectory Equation 3.14 to find...Ch. 3 - Your medieval history class is constructing a...Ch. 3 - Generalize Problem 84 to find an expression for...Ch. 3 - (a) Show that the position of a particle on a...Ch. 3 - In dealing with nonuniform circular motion, as...Ch. 3 - Repeat Problem 87, now generalizing to the case...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...Ch. 3 - Alice (A), Bob (B), and Carrie (C) all start from...
Additional Science Textbook Solutions
Find more solutions based on key concepts
12. Figure Q25.12 shows two concentric, conducting loops. We will define a counterclockwise current (viewed fro...
College Physics: A Strategic Approach (3rd Edition)
41. Write a balanced chemical equation showing how each metal reacts with .
a.
b.
c.
d.
Introductory Chemistry (6th Edition)
WHAT IF What would the discovery of a bacterial species that is a methanogen imply about the evolution of the ...
Campbell Biology (11th Edition)
Describe an example of bioconversion. What metabolic processes can result in fuels?
Microbiology: An Introduction
53. This reaction was monitored as a function of time:
A plot of In[A] versus time yields a straight ...
Chemistry: Structure and Properties (2nd Edition)
1. Which is a function of the skeletal system? (a) support, (b) hematopoietic site, (c) storage, (d) providing ...
Anatomy & Physiology (6th Edition)
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
- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forwardA projectile is shot from ground level at 100 ft/s at a launch angle of θ that is between θ and π /2. Assume that the projectile is acted on by gravity, but not air resistance. Then, in a simple projectile-motion model it can be shown that the projectile lands at a distance R(θ) = 625 sinθcosθ ft from the launch point. What is the rate of change of the range with respect to the launch angle? For what angles does the range increase/decrease with increasing launch angle? What angle provides the maximum range, and what is that maximum range?arrow_forwardYou hit a golf ball from the (level) ground, with an initial speed and an initial angle. Ignore air resistance. (This is very unrealistic.) The initial speed is v0 = 23.7 m/s, and the angle the ball is hit at is θ = 46o. Calculate vx0, the initial horizontal component of velocity (in m/s). What equations describe the trajectory of the golf ball?arrow_forward
- Imagine an archer preparing to fire an arrow. The archer aims the arrow directly ahead, that is to say, parallel with the ground. Bows are drawn to the corner of the mouth when fired. Let's say, for this particular archer, that puts the arrow 1.8 m (about 5.5 feet) above the ground. Assume that we have measured the initial speed of arrows fired by this archer with this bow and it is 100 m/s. (Ignore wind resistance) a) At what point during the arrow's flight will it be moving the fastest? (Be careful here, think about it. You don't need to do any calculations to figure this out.) b) How long will it take for the arrow to hit the ground?c) How far will the arrow travel during this time period?arrow_forwardA projectile is launched at an angle of 45 degrees with respect to the horizontal ground. What is the range of the projectile if it was launched at a speed of 180 ft/s?arrow_forwardYou buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.5 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?arrow_forward
- Consider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles. Refer to the figure. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 79.7°? What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 40.5°? What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 79.7°, the complement of θ1?arrow_forwardSolve the following Problem using the Horizontal Projection Equation. An archer shoots an arrow horizontally at a target 15 m away. The arrow is aimed directly at the center of the target but it hits 25 cm lower. What is the initial velocity of the arrow? A firefighter jumps out of the window into a net. If the window is 25 m above the net, (a.) At what speed does the firefighter hit the net? (b.) How long will it take the firefighter to hit the net? A little girl throws her jackstone ball horizontally out of the window with a velocity of 30 m/s. If the window is 3 m above the ground. How far will the ball travel before it hits the ground?arrow_forwardPlease do help me with this please. It is a physics question. Please, i promise to give a perfect feedback to you.arrow_forward
- At a top of a building, a projectile is launched with an initial velocity of 25.0m/s at an angle of 30° above the horizontal. It takes the projectile t = 3.96s from launch to hit the ground, C. What is the horizontal range from the base of the building to the point where the projectile strikes the ground?arrow_forwardA projectile is fired from the top of an 88 meter high cliff with vo = 26 m/sec, directed 30° above the horizontal. a) How long does it take to reach the surrounding level plane below? b) What is the distance of the point of impact from the base of the cliff? c) What is the final velocity (magnitude and direction)?arrow_forwardAn archer aims at a target that is a horizontal distance 55.0 m away and 5.0 m above the ground. The archer launches her arrow from of height of 1.5 m off the ground, and the arrow hits the target. The arrow is completely horizontal after sticking to the target (i.e., the arrow was traveling horizontally just before hitting the target). What was the initial speed of the arrow, in m/s?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY