COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 36PE
The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range obtainable by a person if he has a take-off speed of 9.5 m/s? State your assumptions.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A physics student performed a projectile experiment. She mentioned that as the initial angle of the projectile increases from 0 to 450, the range also increases (claim 1). Maximum range is attained at
450
(claim 2). As the initial angle increases above 450, the range of the
projectile decreases (claim 3). She was able to verify the first claim in her experiment. Your task is to prove claim 1, 2 and 3 mathematically.
a) At what height above the ground does the projectile have a speed of 0.5v0?
Express your answer in terms of v and g. You may or may not use all of these quantities.
b) What is the speed of the object at the height of (1/2)hmax?
Express your answer in terms of v and g. You may or may not use all of these quantities.
What is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?
Chapter 3 Solutions
COLLEGE PHYSICS
Ch. 3 - Which of the following is a vector: a person's...Ch. 3 - Give a specific example of a vector, stating its...Ch. 3 - What do vectors and scalars have in common? How do...Ch. 3 - Two calipers in a national park hike from their...Ch. 3 - If an airplane plot is told to fly 123 km in a...Ch. 3 - Suppose you take two steps A and B (that is, two...Ch. 3 - Explain why it is not possible to add a scalar to...Ch. 3 - If you take two steps of different sizes, can you...Ch. 3 - Suppose you add two vectors A and B. What relative...Ch. 3 - Give an example of a nonzero vector that has a...
Ch. 3 - Explain why a vector cannot have a component...Ch. 3 - If the vectors A and B are perpendicular, what is...Ch. 3 - Answer the following questions for projectile...Ch. 3 - Answer the following questions for projectile...Ch. 3 - For a fixed initial speed, the range of a...Ch. 3 - During a lecture demonstration, a professor places...Ch. 3 - What frame or frames of reference do you...Ch. 3 - A basketball player dribbling clown the court...Ch. 3 - If someone riding in the back of a pickup truck...Ch. 3 - The hat of a jogger running at constant velocity...Ch. 3 - A clod of dirt falls from the bed of a moving...Ch. 3 - Find the following for path A in Figure 3.54: (a)...Ch. 3 - Find the following for path B in Figure 3.54: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Suppose you walk 18.0 m straight west and then...Ch. 3 - Suppose you first walk 12.0 m in a direction 20°...Ch. 3 - Repeat the problem above, but reverse the order of...Ch. 3 - (a) Repeat the problem two problems prior, but for...Ch. 3 - Show that the order of addition of three vectors...Ch. 3 - Show that the sum of the vectors discussed in...Ch. 3 - Find the magnitudes of velocity vAand vBin figure...Ch. 3 - Find the components of vtot along the x- and...Ch. 3 - Find the components of vtot along a set of...Ch. 3 - Find the following for path C in Figure 3.58: (a)...Ch. 3 - Find the following for path D in Figure 3.58: (a)...Ch. 3 - Find the north and east components of the...Ch. 3 - Solve the following problem using analytical...Ch. 3 - Repeat Exercise 3.16 using analytical techniques,...Ch. 3 - You drive 7.50 km in a straight line in a...Ch. 3 - Do Exercise 3.16 again using analytical techniques...Ch. 3 - A new landowner has a triangular piece of flat...Ch. 3 - You fly 32.0 km in a straight line in still air in...Ch. 3 - A farmer wants to fence off his four-sided plot of...Ch. 3 - In an attempt to escape his island, Gilligan...Ch. 3 - Suppose a pilot flies 40.0 km in a direction 60°...Ch. 3 - A projectile is launched at ground level with an...Ch. 3 - A ball is kicked with an initial velocity of 16...Ch. 3 - A ball is thrown horizontally from the top of a...Ch. 3 - (a) A daredevil is attempting to jump his...Ch. 3 - An archer shoots an arrow at a 75.0 m distant...Ch. 3 - A rugby player passes the ball 7.00 m across the...Ch. 3 - Verify the ranges for the projectiles in Figure...Ch. 3 - Verity the ranges shown for the projectiles in...Ch. 3 - The cannon on a battleship can fire a shell a...Ch. 3 - An arrow is shot from a height of 1.5 m toward a...Ch. 3 - In the standing broad jump, one squats and then...Ch. 3 - The world long jump record is 8.95 m (Mike Powell,...Ch. 3 - Serving at a speed of 170 km/h, a tennis player...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - Gun sights are adjusted to aim high to compensate...Ch. 3 - An eagle is flying horizontally at a speed of 3.00...Ch. 3 - An owl is carrying a mouse to the chicks in its...Ch. 3 - Suppose a soccer player kicks the ball from a...Ch. 3 - Can a goalkeeper at her/ his goal kick a soccer...Ch. 3 - The free throw line in basketball is 4.57 m (15...Ch. 3 - In 2007, Michael Carter (U.S.) set a world record...Ch. 3 - A basketball player is running at 5.00 m/s...Ch. 3 - A football player punts the ball at a 45.0° angle....Ch. 3 - Prove that the trajectory of a projectile is...Ch. 3 - Derive R=v02sin20g for the range of a projectile...Ch. 3 - Unreasonable Results (a) Find the maximum range of...Ch. 3 - Construct Your Own Problem Consider a ball tossed...Ch. 3 - Bryan Allen pedaled a human-powered aircraft...Ch. 3 - A seagull flies at a velocity of 9.00 m/s straight...Ch. 3 - Near the end of a marathon race, the first two...Ch. 3 - Verity that the coin dropped by the airline...Ch. 3 - A football quarterback is moving straight backward...Ch. 3 - A ship sets sail from Rotterdam, The Netherlands,...Ch. 3 - (a) A jet airplane flying from Darwin, Australia,...Ch. 3 - (a) In what direction would the ship in Exercise...Ch. 3 - (a) Another airplane is flying in a jet stream...Ch. 3 - A sandal is dropped from the top of a 15.0-m-high...Ch. 3 - The velocity of the wind relative to the water is...Ch. 3 - The great astronomer Edwin Hubble discovered that...Ch. 3 - (a) Use the distance and velocity data in Figure...Ch. 3 - An athlete crosses a 25-m-wide river by swimming...Ch. 3 - A ship sailing in the Gulf Stream is heading 25.0°...Ch. 3 - An ice hockey player is moving at 8.00 m/s when he...Ch. 3 - Unreasonable Results Suppose you wish to shoot...Ch. 3 - Unreasonable Results A commercial airplane has an...Ch. 3 - Construct Your Own Problem Consider an airplane...Ch. 3 - Prob. 1TPCh. 3 - Prob. 2TPCh. 3 - Prob. 3TPCh. 3 - Prob. 4TPCh. 3 - Prob. 5TPCh. 3 - Prob. 6TP
Additional Science Textbook Solutions
Find more solutions based on key concepts
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
37. In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle ...
College Physics (10th Edition)
The electromagnetic spectrum of light is often arranged in terms of frequency. Which one of the following has t...
Lecture- Tutorials for Introductory Astronomy
TEST YOUR UNDERSTANDING OF SECTION 37.1 As a high-speed spaceship flies past you, it fires a strobe light that ...
University Physics with Modern Physics (14th Edition)
25. The 100 kg block in FIGURE EX7.25 takes 6.0 s to reach the floor after being released from rest. What is th...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th 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 5.0-kilogram grenade lying motionless on the ground explodes into three pieces. (It's not a very sophisticated grenade.) A 2.0-kilogram piece flies off at 18 meters per second and 110 degrees. A 1.7-kilogram piece flies off at 31 meters per second and 270 degrees. What is the velocity of the third piece? Include units in your answers.arrow_forwardKara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of 20 degrees above the cannon to be above horizontal, what will be the range of the projectiles?arrow_forwardRoger Federer is about to do his smooth, classical and effortless serve to Rafael Nadal in Australian open final. The ball is shot horizontally from a height of 3.0 m above the ground level of a tennis court, and 6.3 m from the net. The net is of height 0.9 m. Assume the ball only travels along the centreline of the court. The situation is shown in the Figure below. B 0.9 m VA 6.3 m 3.0 m |▬▬▬st Determine the horizontal velocity V₁ of the ball at point A so that it clears the net without touching it at point B. Also calculate the distances where the ball strikes the ground. Note: Show your workings for each part of the question. Provide your answer to 2 decimal places.arrow_forward
- 5. A projectile is fired at a 60° angle as shown below. The projectile reaches a maximum height ymax above its initial position. The range of the projectile is 25 m, and the time of flight of the projectile is 3 s. Answer the following questions. 25 a) Find the initial x and y components of the velocity. b) How long does it take the projectile to reach its maximum height? c) What is the final height H of the projectile?arrow_forwardGeorgia, standing on the back of the pick-up truck, wants to throw her last piece of balut to her mortal enemy, Emma. before the truck started moving, the two women are separated by a distance of 2 m. For two seconds, the truck uniformly accelerated until it reached a velocity of 4 m/s which it then maintained. With hatred, Georgia throws the last piece of balut with a velocity of 12.5 m/s at an angle of 40° from horizontal, measured relative to the truck. If she makes the throw 2.8 seconds after the truck started moving, will she be able to hit Emma? Note that Emma is at rest due to exhaustion from their earlier fight and she cannot dodge the balut. Set your origin at point A. Neglect air resistance.arrow_forwardpeople love to play with balls nowadays especially during quarantine as theres not much to do. lets say we have a ball that hits another ball that is at the rest. after they hit and smash each other, the first ball moves 4m/s on the platform and makes an angle of 25 degrees while the other ball has a speed of 3m/s.. FIND a)get the angle b3tween da d1rection of motion of da second one (ball) and the original direction of motion of da first one. b) find da original sp33d of the first one c)let me ask u this question. is the kinetic energy is being conserving?arrow_forward
- Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial angles. Refer to the figure. Part (a) What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 70.6°? b. What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 38°? c. What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 70.6°, the complement of θ1?arrow_forward9:32 O 1 o0 24 A railgun is capable of shooting a projectile at speeds of about 3 000 m/s. A certain scientific railgun used for railgun research is aimed at an angle of 30° from the horizontal. After some time, the projectile hits the ground. The railgun is planted on the ground, so assume that xo = 0 and yo = 0. a. Calculate Vor and voy. b. Calculate the range of the projectile c. From your results in (a) and (b), use the equation for x(t) to calculate the total air time of the projectile. d. From your results in (a) and (c), calculate v̟(t) and v,(t) as it hits the ground. e. From your results in (d), calculate the magnitude of the velocity v of the projectile as it hits the ground. f. From your results in (a) and (d) and using the time-independent equation discussed in Worksheet 9, calculate the maximum height of the projectile. ||arrow_forwardA sinx is the mathematical model for the hypothesis given for the time of flight of a projectile as a function of angle. A: the fit parameter A...A = 2V0 B: the fit parameter B...B = B was not used in the model make a plot of the time of flight for a projectile as a function of launching angle, with v0 = 3.92 m/s...which graph most matcharrow_forward
- Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.arrow_forwardA person throws a ball with speed 102 m/s at a 45° angle. How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps. Assume that there is no loss of speed at the bounce. Hint: Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.arrow_forwardKara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of the cannon to be 20.o above horizontal, what will be the range of the projectiles? 64 m 61 m 41 m 25 marrow_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 LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Kinematics Part 3: Projectile Motion; Author: Professor Dave explains;https://www.youtube.com/watch?v=aY8z2qO44WA;License: Standard YouTube License, CC-BY