Explanation 1) Concept: Vector can be written by measuring the distances along each direction. Displacement can be calculated by change in position between two vectors. 2) Formulae: Unit vector notation: r → = r x i ^ + r y j ^ + r z k ^ 3) Given: i. r i x = 7 m ii. r i y = 1 m iii. r i z = - 2 m iv. r f x = 5 m v. r f y = - 3 m vi. r f z = 1 m 4) Calculations: a) Initial position vector ( r i → ) r - i → = r i x i ^ + r i y j ^ + r i z k ^ r i → = 7 i ^ + j ^ - 2 k ^ b) Final position vector ( r f → ) r → f =

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ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Chapter 4, Problem 2Q

To determine

To find:

a) Initial position vector ri→

b) Final position vector rf→

c) x component of displacement ∆r→

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Chapter 4, Problem 1Q

Chapter 4, Problem 3Q

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Chapter 4 Solutions

Fundamentals of Physics Extended

Ch. 4 - Figure 4-21 shows the path taken by a skunk...Ch. 4 - Prob. 2Q Ch. 4 - When Paris was shelled from 100 km away with the...Ch. 4 - You are to launch a rocket, from just above the...Ch. 4 - Figure 4-23 shows three situations in which...Ch. 4 - The only good use of a fruitcake is in catapult...Ch. 4 - An airplane flying horizontally at a constant...Ch. 4 - In Fig. 4-25, a cream tangerine is thrown up past...Ch. 4 - Figure 4-26 shows three paths for a football...Ch. 4 - A ball is shot from ground level over level ground...

Ch. 4 - Figure 4-28 shows four tracks either half- or...Ch. 4 - In Fig. 4-29, particle P is in uniform circular...Ch. 4 - a Is it possible to be accelerating while...Ch. 4 - While riding in a moving car, you toss an egg...Ch. 4 - A snowball is thrown from ground level by someone...Ch. 4 - You are driving directly behind a pickup truck,...Ch. 4 - At what point in the path of a projectile is the...Ch. 4 - In shot put, the shot is put thrown from above the...Ch. 4 - Prob. 1P Ch. 4 - A watermelon seed has the following coordinates: x...Ch. 4 - A positron undergoes a displacement r = 2.0 i 3.0...Ch. 4 - The minute hand of a wall clock measures 10 cm...Ch. 4 - SSM A train at a constant 60.0 km/h moves east for...Ch. 4 - An electrons position is given by...Ch. 4 - An ions position vector is initially...Ch. 4 - A plane flies 483 km east from city A to city B in...Ch. 4 - Figure 4-30 gives the path of a squirrel moving...Ch. 4 - The position vector r=5.00ti+(et+ft2)j locates a...Ch. 4 - Prob. 11P Ch. 4 - At one instant a bicyclist is 40.0 m due east of a...Ch. 4 - SSM A particle moves so that its position in...Ch. 4 - A proton initially has v=4.0i2.0j+3.0k and then...Ch. 4 - SSM ILW A particle leaves the origin with an...Ch. 4 - GO The velocity v of a particle moving in the xy...Ch. 4 - A cart is propelled over an xy plane with...Ch. 4 - A moderate wind accelerates a pebble over a...Ch. 4 - The acceleration of a particle moving only on a...Ch. 4 - GO In Fig. 4-32, particle A moves along the line y...Ch. 4 - A dart is thrown horizontally with an initial...Ch. 4 - A small ball rolls horizontally off the edge of a...Ch. 4 - A projectile is fired horizontally from a gun that...Ch. 4 - In the 1991 World Track and Field Championships in...Ch. 4 - The current world-record motorcycle jump is 77.0...Ch. 4 - A stone is catapulted at time t = 0, with an...Ch. 4 - ILW A certain airplane has a speed of 290.0 km/h...Ch. 4 - GO In Fig. 4-34, a stone is projected at a cliff...Ch. 4 - A projectiles launch speed is five times its speed...Ch. 4 - GO A soccer ball is kicked from the ground with an...Ch. 4 - In a jump spike, a volleyball player slams the...Ch. 4 - GO You throw a ball toward a wall at speed 25.0...Ch. 4 - SSM A plane, diving with constant speed at an...Ch. 4 - A trebuchet was a hurling machine built to attack...Ch. 4 - SSM A rifle that shoots bullets at 460 m/s is to...Ch. 4 - GO During a tennis match, a player serves the ball...Ch. 4 - SSM WWW A lowly high diver pushes off horizontally...Ch. 4 - A golf ball is struck at ground level. The speed...Ch. 4 - In Fig. 4-37, a ball is thrown leftward from the...Ch. 4 - Suppose that a shot putter can put a shot at the...Ch. 4 - GO Upon spotting an insect on a twig overhanging...Ch. 4 - In 1939 or 1940, Emanuel Zacchini took his human...Ch. 4 - ILW A ball is shot from the ground into the air....Ch. 4 - A baseball leaves a pitchers hand horizontally at...Ch. 4 - In Fig. 4-40, a ball is launched with a velocity...Ch. 4 - GO In basketball, hang is an illusion in which a...Ch. 4 - Prob. 47P Ch. 4 - GO In Fig. 4-41, a ball is thrown up onto a roof,...Ch. 4 - SSM A football kicker can give the ball an initial...Ch. 4 - GO Two seconds after being projected from ground...Ch. 4 - A skilled skier knows to jump upward before...Ch. 4 - A ball is to be shot from level ground toward a...Ch. 4 - GO In Fig. 4-44, a baseball is hit at a height h =...Ch. 4 - GO A ball is to be shot from level ground with a...Ch. 4 - SSM A ball rolls horizontally off the top of a...Ch. 4 - An Earth satellite moves in a circular orbit 640...Ch. 4 - A carnival merry-go-round rotates about a vertical...Ch. 4 - A rotating fan completes 1200 revolutions every...Ch. 4 - ILW A woman rides a carnival Ferris wheel at...Ch. 4 - A centripetal-acceleration addict rides in uniform...Ch. 4 - When a large star becomes a supernova, its core...Ch. 4 - What is the magnitude of the acceleration of a...Ch. 4 - GO At t1 = 2.00 s, the acceleration of a particle...Ch. 4 - GO A particle moves horizontally in uniform...Ch. 4 - A purse at radius 2.00 m and a wallet at radius...Ch. 4 - A particle moves along a circular path over a...Ch. 4 - SSM WWW A boy whirls a stone in a horizontal...Ch. 4 - GO A cat rides a merry-go-round turning with...Ch. 4 - A cameraman on a pickup truck is traveling...Ch. 4 - A boat is traveling upstream in the positive...Ch. 4 - A suspicious-looking man runs as fast as he can...Ch. 4 - A rugby player runs with the ball directly toward...Ch. 4 - Two highways intersect as shown in Fig. 4-46. At...Ch. 4 - After flying for 15 min in a wind blowing 42 km/h...Ch. 4 - SSM A train travels due south at 30 m/s relative...Ch. 4 - A light plane attains an airspeed of 500 km/h. The...Ch. 4 - SSM Snow is falling vertically at a constant speed...Ch. 4 - In the overhead view of Fig. 4-47, Jeeps P and B...Ch. 4 - SSM ILW Two ships, A and B, leave port at the same...Ch. 4 - GO A 200-m-wide river flows due east at a uniform...Ch. 4 - GO Ship A is located 4.0 km north and 2.5 km east...Ch. 4 - GO A 200-m-wide river has a uniform flow speed of...Ch. 4 - A woman who can row a boat at 6.4 km/h in still...Ch. 4 - In Fig. 4-48a, a sled moves in the negative x...Ch. 4 - You are kidnapped by political-science majors who...Ch. 4 - A radar station detects an airplane approaching...Ch. 4 - SSM A baseball is hit at ground level. The ball...Ch. 4 - Long flights at midlatitudes in the Northern...Ch. 4 - SSM A particle starts from the origin at t = 0...Ch. 4 - At what initial speed must the basketball player...Ch. 4 - During volcanic eruptions, chunks of solid rock...Ch. 4 - An astronaut is rotated in a horizontal centrifuge...Ch. 4 - SSM Oasis A is 90 km due west of oasis B. A desert...Ch. 4 - Curtain of death. A large metallic asteroid...Ch. 4 - Figure 4-53 shows the straight path of a particle...Ch. 4 - For womens volleyball the top of the net is 2.24 m...Ch. 4 - SSM A rifle is aimed horizontally at a target 30 m...Ch. 4 - A particle is in uniform circular motion about the...Ch. 4 - In Fig. 4-54, a lump of wet putty moves in uniform...Ch. 4 - An iceboat sails across the surface of a frozen...Ch. 4 - In Fig. 4-55, a ball is shot directly upward from...Ch. 4 - A magnetic field forces an electron to move in a...Ch. 4 - In 3.50 h, a balloon drifts 21.5 km north, 9.70 km...Ch. 4 - A ball is thrown horizontally from a height of 20...Ch. 4 - A projectile is launched with an initial speed of...Ch. 4 - The position vector for a proton is initially...Ch. 4 - A particle P travels with constant speed on a...Ch. 4 - The fast French train known as the TGV Train ...Ch. 4 - a If an electron is projected horizontally with a...Ch. 4 - A person walks up a stalled 15-m-long escalator in...Ch. 4 - a What is the magnitude of the centripetal...Ch. 4 - The range of a projectile depends not only on v0...Ch. 4 - Figure 4-57 shows the path taken by a drunk skunk...Ch. 4 - The position vector r of a particle moving in the...Ch. 4 - An electron having an initial horizontal velocity...Ch. 4 - An elevator without a ceiling is ascending with a...Ch. 4 - A football player punts the football so that it...Ch. 4 - An airport terminal has a moving sidewalk to speed...Ch. 4 - Prob. 119P Ch. 4 - A sprinter running on a circular track has a...Ch. 4 - Suppose that a space probe can withstand the...Ch. 4 - GO You are to throw a ball with a speed of 12.0...Ch. 4 - A projectile is fired with an initial speed v0 =...Ch. 4 - A graphing surprise. At time t = 0, a burrito is...Ch. 4 - A cannon located at sea level fires a ball with...Ch. 4 - The magnitude of the velocity of a projectile when...Ch. 4 - A frightened rabbit moving at 6.00 m/s due east...Ch. 4 - The pilot of an aircraft flies due east relative...Ch. 4 - The pitcher in a slow-pitch softball game releases...Ch. 4 - Some state trooper departments use aircraft to...Ch. 4 - A golfer tees off from the top of a rise, giving...Ch. 4 - A track meet is held on a planet in a distant...Ch. 4 - A helicopter is flying in a straight line over a...Ch. 4 - A car travels around a flat circle on the ground,...Ch. 4 - You throw a ball from a cliff with an initial...Ch. 4 - A baseball is hit at Fenway Park in Boston at a...Ch. 4 - A transcontinental flight of 4350 km is scheduled...Ch. 4 - A woman can row a boat at 6.40 km/h in still...

Knowledge Booster

a) Initial position vector r i → b) Final position vector r f → c) x component of displacement ∆ r →

To find: a) Initial position vector ri→ b) Final position vector rf→ c) x component of displacement ∆r→

Want to see the full answer?

Chapter 4 Solutions

To find:

a) Initial position vector ri→

b) Final position vector rf→

c) x component of displacement ∆r→