University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.82P
A ball is thrown straight up from the ground with speed υ0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance, (a) Find the time at which the two balls collide, (b) Find the value of H in terms of v0 and g such that at the instant when the balls collide, the first ball is at the highest point of its motion.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance.
Find the time at which the two balls collide.
Find the value of H in terms of vo and g so that at the instant when the balls collide, the first ball is at the highest point of its motion.
During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the
Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones
at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2
km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in
the absence of air resistance, this gives the largest range.
a) What speed did the stone have to be launched at to achieve this range?
b) How long was the ball in the air?
c) How fast was the ball traveling at the apex of its flight?
In an experiment two identical rocks are simultaneously thrown from the edge of a cliff a distance h0h0 above the ground. Rock A is thrown vertically upward with speed v0v0 and rock B is thrown vertically downward with speed v0v0. Rock A and rock B strike the ground at times tAtA and tBtB, respectively. Consider the positive vertical direction to be upward.
(a) On the axes given below, sketch and label graphs of the velocity as a function of time for rock A and rock B. Label the time tBtB. Times tAtA and 12tA12tA are given on the graph.
(b) Rock B hits the ground at time tBtB. Derive an equation for the time tAtA it takes rock A to hit the ground in terms of v0v0, tBtB, and physical constants, as appropriate.
Chapter 2 Solutions
University Physics (14th Edition)
Ch. 2 - Does the speedometer of a car measure speed or...Ch. 2 - The black dots at the top of Fig. Q2.2 represent a...Ch. 2 - Can an object with constant acceleration reverse...Ch. 2 - Under what conditions is average velocity equal to...Ch. 2 - Is it possible for an object to be (a) slowing...Ch. 2 - Under what conditions does the magnitude of the...Ch. 2 - When a Dodge Viper is at Elwoods Car Wash, a BMW...Ch. 2 - A driver in Massachusetts was sent to traffic...Ch. 2 - Can you have zero displacement and nonzero average...Ch. 2 - Can you have zero acceleration and nonzero...
Ch. 2 - Can you have zero velocity and nonzero average...Ch. 2 - An automobile is traveling west. Can it have a...Ch. 2 - The officials truck in Fig. 2.2 is at x1 = 277 m...Ch. 2 - Under constant acceleration the average velocity...Ch. 2 - You throw a baseball straight up in the air so...Ch. 2 - Prove these statements: (a) As long as you can...Ch. 2 - A dripping water faucet steadily releases drops...Ch. 2 - If you know the initial position and initial...Ch. 2 - From the top of a tall building, you throw one...Ch. 2 - You run due cast at a constant speed of 3.00 m/s...Ch. 2 - An object is thrown straight up into the air and...Ch. 2 - When you drop an object from a certain height, it...Ch. 2 - A car travels in the +x-direction on a straight...Ch. 2 - In an experiment, a shearwater (a seabird) was...Ch. 2 - Trip Home. You normally drive on the freeway...Ch. 2 - From Pillar to Post. Starting from a pillar, you...Ch. 2 - Starting from the front door of a ranch house, you...Ch. 2 - A Honda Civic travels in a straight line along a...Ch. 2 - CALC A car is stopped at a traffic light. It then...Ch. 2 - CALC A bird is flying due east. Its distance from...Ch. 2 - A ball moves in a straight line (the x-axis). The...Ch. 2 - A physics professor leaves her house and walks...Ch. 2 - A test car travels in a straight line along the...Ch. 2 - Figure E2.12 shows the velocity of a solar-powered...Ch. 2 - The Fastest (and Most Expensive) Car! The table...Ch. 2 - CALC A race car starts from rest and travels east...Ch. 2 - CALC A turtle crawls along a straight line, which...Ch. 2 - An astronaut has left the International Space...Ch. 2 - CALC A cars velocity as a function of time is...Ch. 2 - CALC The position of the front bumper of a test...Ch. 2 - An antelope moving with constant acceleration...Ch. 2 - BIO Blackout? A jet fighter pilot wishes to...Ch. 2 - A Fast Pitch. The fastest measured pitched...Ch. 2 - A Tennis Serve. In the fastest measured tennis...Ch. 2 - BIO Automobile Air Bags. The human body can...Ch. 2 - BIO A pilot who accelerates at more than 4g begins...Ch. 2 - BIO Air-Bag Injuries. During an auto accident, the...Ch. 2 - BIO Prevention of Hip Fractures. Falls resulting...Ch. 2 - BIO Are We Martians? It has been suggested, and...Ch. 2 - Entering the Freeway. A car sits on an entrance...Ch. 2 - At launch a rocket ship weighs 4.5 million pounds....Ch. 2 - A cat walks in a straight line, which we shall...Ch. 2 - The graph in Fig. E2.31 shows the velocity of a...Ch. 2 - Two cars, A and B, move along the x-axis. Figure...Ch. 2 - A small block has constant acceleration as it...Ch. 2 - At the instant the traffic light turns green, a...Ch. 2 - (a) If a flea can jump straight up to a height of...Ch. 2 - A small rock is thrown vertically upward with a...Ch. 2 - A juggler throws a bowling pin straight up with an...Ch. 2 - You throw a glob of putty straight up toward the...Ch. 2 - A tennis ball on Mars, where the acceleration due...Ch. 2 - Touchdown on the Moon. A lunar lander is making...Ch. 2 - A Simple Reaction-Time Test. A meter stick is held...Ch. 2 - A brick is dropped (zero initial speed) from the...Ch. 2 - Launch Failure. A 7500-kg rocket blasts off...Ch. 2 - A hot-air balloonist, rising vertically with a...Ch. 2 - BIO The rocket-driven sled Sonic Wind No. 2, used...Ch. 2 - An egg is thrown nearly vertically upward from a...Ch. 2 - A 15-kg rock is dropped from rest on the earth and...Ch. 2 - A large boulder is ejected vertically upward from...Ch. 2 - You throw a small rock straight up front the edge...Ch. 2 - CALC A small object moves along the x-axis with...Ch. 2 - CALC A rocket starts from rest and moves upward...Ch. 2 - CALC The acceleration of a bus is given by ax(t) =...Ch. 2 - CALC The acceleration of a motorcycle is given by...Ch. 2 - BIO Flying Leap of the Flea. High-speed motion...Ch. 2 - BIO A typical male sprinter can maintain his...Ch. 2 - CALC A lunar lander is descending toward the moons...Ch. 2 - Earthquake Analysis. Earthquakes produce several...Ch. 2 - A brick is dropped from the roof of a tall...Ch. 2 - A rocket carrying a satellite is accelerating...Ch. 2 - A subway train starts from rest at a station and...Ch. 2 - A gazelle is running in a straight line (the...Ch. 2 - Collision. The engineer of a passenger train...Ch. 2 - A ball starts from rest and rolls down a hill with...Ch. 2 - Two cars start 200 m apart and drive toward each...Ch. 2 - A car and a truck start from rest at the same...Ch. 2 - You are standing at rest at a bus stop. A bus...Ch. 2 - Passing. The driver of a car wishes to pass a...Ch. 2 - CALC An objects velocity is measured to be vx(t) =...Ch. 2 - CALC The acceleration of a particle is given by...Ch. 2 - Egg Drop. You are on the roof of the physics...Ch. 2 - A certain volcano on earth can eject rocks...Ch. 2 - An entertainer juggles balls while doing other...Ch. 2 - Look Out Below. Sam heaves a 16-lb shot straight...Ch. 2 - A flowerpot falls off a windowsill and passes the...Ch. 2 - Two stones are thrown vertically upward from the...Ch. 2 - A Multistage Rocket. In the first stage of a...Ch. 2 - During your summer internship for an aerospace...Ch. 2 - A physics teacher performing an outdoor...Ch. 2 - A helicopter carrying Dr. Evil takes off with a...Ch. 2 - Cliff Height. You are climbing in the High Sierra...Ch. 2 - CALC An object is moving along the x-axis. At t =...Ch. 2 - A ball is thrown straight up from the ground with...Ch. 2 - CALC Cars A and B travel in a straight line. The...Ch. 2 - DATA In your physics lab you release a small...Ch. 2 - DATA In a physics lab experiment, you release a...Ch. 2 - DATA A model car starts from rest and travels in a...Ch. 2 - In the vertical jump, an athlete starts from a...Ch. 2 - Catching the Bus. A student is running at her top...Ch. 2 - A ball is thrown straight up from the edge of the...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...Ch. 2 - BIO BLOOD FLOW IN THE HEART. The human circulatory...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Explain all answers clearly, using complete sentences and proper essay structure if needed. An asterisk (*) des...
Cosmic Perspective Fundamentals
Unreasonable Results (a) An automobile mechanic claims that an aluminum rod fits loosely into its hole on an al...
College Physics
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
Date: July 20, 2020. Headline: Giant Planet Found in Our Solar System Just Beyond Pluto.
Life in the Universe (4th Edition)
The speed of the person sitting on the chair relative to the chair and relative to Earth.
Conceptual Physics (12th Edition)
83. It is possible to tow icebergs to coastal cities as a source of fresh water. What obstacles—technological, ...
Conceptual Physical Science (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
- Hobbyists build a compressed air powered cannon which is able to launch a pumpkin a horizontal distance of 2700 ft. Assuming no air resistance, and assuming the pumpkin is launched at ground level, what is the minimum initial speed of the pumpkin (just as it leaves the cannon) that is needed for it to reach this distance, in m/s? 294 X m/sarrow_forwardA ball is thrown upward from the ground with initial velocity vi= 14 m/s and reaches height of h above the ground before falling back down. Take the upwards direction to be positive. Neglect air resistance. (F) Calculate the value of delta t in seconds. (G) What is the total displacement, in meters, of the ball going through its entire motion: traveling from the ground to the top then falling back to the ground? (H) Enter an expression for the total time of flight of the ball: the time from when it is launches to when it lands on the ground.arrow_forwardJames Bond runs then jumps off a building in a horizontal direction at speed v. He tries to reach the roof of a building nearby, at a distance d = 10 m. (a) That building is 10 m shorter than the one where Bond jumps off. If his speed cannot exceed 10 m/s and his initial velocity is purely horizontal, does he have a chance to make it? If yes, what is his minimum requiredspeed? (b) Consider instead what happens if the building he jumps to has the same height as the one he jumps from but this time he jumps with some initial angle q. If his initial speed is 10 m/s, does he have a chance to make it? If yes, for what range of q is this possible?arrow_forward
- You throw two balls directly downwards from a height of 90 m, 3.0 s apart. You throw the first ball at a speed of 8.0 m/s. (a) At what speed must you throw the second ball if it is to reach the ground with the same speed as the first ball? (b) At what speed must you throw the second ball if it is to reach the ground at the same time as the first ball?arrow_forwardA golf ball rolls off a horizontal cliff with an initial speed of 15.0 m/s. The ball falls a vertical distance of 16.5 m into a lake below. (a)How much time does the ball spend in the air? (b) What is the speed v of the ball just before it strikes the water?arrow_forwardA golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in the figure, where t = 0 at the instant the ball is struck. The scaling on the vertical axis is set by va 20 m/s and v₂= 31.6 m/s. (a) How far does the golf ball travel horizontally before returning to ground level? (b) What is the maximum height above ground level attained by the ball? v (m/s) 2 3 4 5arrow_forward
- (a) How far from the origin is the puck at t = 6s? (b) How far from the origin is the puck at t = 10s?arrow_forwardA small rock is thrown straight up with initial speed v0 fromthe edge of the roof of a building with height H. The rock travels upwardand then downward to the ground at the base of the building. Let+y be upward, and neglect air resistance. (a) For the rock’s motion fromthe roof to the ground, what is the vertical component vav-y of its averagevelocity? Is this quantity positive or negative? Explain. (b) Whatdoes your expression for vav-y give in the limit that H is zero? Explain.(c) Show that your result in part (a) agrees with Eq. (2.10)arrow_forwardA football is kicked from ground level with an initial velocity given by v0x = 20.0 m/s and v0y = 14.0 m/s. To what maximum height y does it rise? At what time t does it return to the ground? What horizontal distance Δx has it covered in that time? Ignore air resistance.arrow_forward
- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 15.0 m/s. The cliff is h = 36.0 m above a flat, horizontal beach. (a) What are the coordinates of the initial position of the stone? x0: y0: (b) What are the components of the initial velocity? v0x: v0y: (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx: vy: (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x= y= (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf= 0-: (theta):arrow_forwardA golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in the figure, where t = 0 at the instant the ball is struck. The scaling on the vertical axis is set by va= 17 m/s and vb= 29.8 m/s. (a) How far does the golf ball travel horizontally before returning to ground level? (b) What is the maximum height above ground level attained by the ball?arrow_forward(b) If the jet touches down at position xi = 0, what is its final position? Home work: A typical jetliner lands at a speed of 71.5 m/s and decelerates at the rate of 4.47m/s². If the plane travels at a constant speed of 71.5 m/s for 1.00 s after landing before applying the brakes, what is the total displacement of the aircraft between touchdown on the runway and coming to rest ( stop )? Chapter 2 finished,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
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