Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 82P
You're a consulting engineer specializing in athletic facilities, and you’ve been asked to help design the Olympic ski jump pictured in Fig. 3.27. Skiers will leave the jump at 28 m/s and 9.5° below the horizontal, and land 55 m horizontally from the end of the jump. Your job is to specify the slope of the ground so skiers’ trajectories make an angle of only 3.0° with the ground on landing, ensuring their safety. What slope do you specify?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A Motorcycle Jump. You are planning to make a jump with your motorcycle by driving over a ramp that will launch you at an angle of
30.0° with respect to the horizontal. The front edge of the ramp on which you are supposed to land, however, is 25.0 ft lower than
the edge of the launch ramp (i.e., your launch height).
(a) Assuming a launch speed of 60.0 mph, at what horizontal distance from your launch point should the landing ramp be placed?
(b) In order to land smoothly, the angle of the landing ramp should match the direction of your velocity vector when you touch down.
What should be the angle of the landing ramp?
(a) Number
Units
(b) Number
Units
A trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is
5.0 m above the ground when launched at a velocity of 25 m/s at an angle of 35° above the
horizontal. Assuming that the projectile lands on the level ground inside the castle walls
answer the following questions. (a) How long was the projectile in the air? (b) How far
horizontally did the projectile travel from where it was launched to where it hit the ground?
(c) What was the velocity of the projectile just before it hit the ground? (d) Include a
A football game begins with a kickoff in which the ball travels a horizontal distance of 37 m(approximately 40 yd) and lands at the same level from which it was kicked. If the ball waskicked at an angle of 44 ° above the horizontal, what was its initial speed?
Chapter 3 Solutions
Essential University Physics (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
Give an example of interspecies H2 transfer. Why can it be said that both organisms benefit from this process?
Brock Biology of Microorganisms (15th Edition)
APPLY 1.2 Express the following quantities in scientific notation
using fundamental SI units of mass and lengt...
Chemistry (7th Edition)
14.19 In Genetic Analysis, we designed a screen to identify conditional mutants of S. cerevisiae in which the s...
Genetic Analysis: An Integrated Approach (3rd Edition)
Fibrous connective tissue consists of ground substance and fibers that provide strength, support, and flexibili...
Human Biology: Concepts and Current Issues (8th Edition)
Calculate the lattice energy of CaCl2 using a Born-Haber cycle and data from Appendices F and L and Table 7.5. ...
Chemistry & Chemical Reactivity
4. How do gross anatomy and microscopic anatomy differ?
Human Anatomy & Physiology (2nd 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 hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardA long jumper can jump a distance of 8.0 m when he takes off at an angle of 45° with respect to the horizontal. Assuming he can jump with the same initial speed at all angles, how much distance does he lose by taking off at 30°?arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle , = 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.0 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? %3D (a) Number 330.15 Units m/s (b) Number' 49 Unitsarrow_forward
- Questions 1 through 3 pertain to the situation described below: An archer wants to launch an arrow from a bow to clear a treetop that is 35.0 m vertically above, and 97.0 m horizontally away from, the launching location. Assume that the launching speed is 57.0 m/s and the launching angle is 0 above the horizontal. (1) How much does the arrow clear the treetop if 0 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9-86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.arrow_forwardYou were hiding in a tree 5 m above the ground when you spotted a rabbit on the ground. You took a pebble and shot it with your sling shot. You missed. You estimated you were aiming downward at -50 degrees (i.e. below horizontal) with an initial speed of 5.0 m/s. How far did the pebble land horizontally away from you?arrow_forwardAn NFL quarterback throws a pass, for which the launch angle is 29 degrees above horizontal, with an initial speed of 13.9 m/s, and the ball is caught at the same height at which is was released. How far horizontally does the ball travel, in meters, while it is in flight?arrow_forward
- . You tossed out a ball from a building at a height of 50.0 meter above the ground with an initial velocity of 9.00 m/s and angle of 25° to the horizontal. It strikes the ground after 5.00 seconds. With the positive x-direction chosen to be out of the window, how far horizontally from the base of the building does the ball strike the ground?arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle θ0 = 38˚ to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.2 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?arrow_forwardYou can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle ? with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 8.60 m/s, and the initial vertical velocity be 12.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground m time to reach maximum height s (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground m time to reach maximum height sarrow_forward
- World’s Longest Par 3. The tee of the world’s longest par 3 sits atop South Africa’s Hanglip Mountain at 400.0 m above the green and can only be reached by helicopter. The horizontal distance to the green is 359.0 m. Neglect air resistance and answer the following questions. (a) If a golfer launches a shot that is 40° with respect to the horizontal, what initial velocity must she give the ball? (b) What is the time to reach the green?arrow_forwardA ball will be thrown to hit a target standing on the ground at a distance of 100 m from the roof of a 20 m high building. The shooter stands on the roof near the target of the building. a) What should be the initial velocity of the ball thrown horizontally to hit the target? b) If the ball is thrown at an angle of 37 ° with the horizontal, what should be its initial speed to hit the target?arrow_forwardA skateboarder shoots off a ramp with a velocity of 7.8 m/s, directed at an angle of 63° above the horizontal. The end of the ramp is 1.4 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY