Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 8P
(II) T
x = 34 + 10t − 2t3, where t is in seconds and x in meters. (a) Plot x as a function of t from t = 0 to t = 3.0 s. (b) Find the average velocity of the object between 0 and 3.0 s. (c) At what time between 0 and 3.0 s is the instantaneous velocity zero?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule06:48
Students have asked these similar questions
(a) The velocity of a particle changes from vỊ = 28 + 5ŷ -3k m/s to
v2 = 5î - 7j+ 2k m/s in 2 s. What is its average acceleration?
(b) A particle has an acceleration of a = -7î +3ĵ m/s² for a period of 4 s. After this
time the velocity is V2 = 6î - 2k m/s. What was the initial velocity?
The velocity of an object is given as a function of time by v = 4t - 3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 s to t = 2 s:
is 0
is -2 m/s
is 2 m/s
is -4 m/s
cannot be calculated unless the initial position is given
(1) The position of a particle for 1> 0 is given by F(t)= (3.0r i-7.0r j-5.01 k) m. (a) What
is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What
is the particle's velocity at /- 2.0 s? (d) What is its speed at t= 1.0 s and / 3.0 s? (e) What is
the average velocity between t-1.0s and r= 2.0 s?
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 2.1 - An ant starts at x = 20cm on a piece of graph...Ch. 2.2 - A car travels at a constant 50km/h for 100 km. It...Ch. 2.3 - What is your speed at the instant you turn around...Ch. 2.4 - A powerful car is advertised to go from zero to 60...Ch. 2.4 - A car moves along the x axis. What is the sign of...Ch. 2.4 - The position of a particle is given by the...Ch. 2.5 - A car starts from rest and accelerates at a...Ch. 2.7 - Return to the Chapter-Opening Question. page 18,...Ch. 2.7 - If a car is said to accelerate at 0.50 g, what is...Ch. 2.7 - Two balls are thrown from a cliff. One is thrown...
Ch. 2 - Does a car speedmeter measure speed, velocity, or...Ch. 2 - Can an object have a varying speed if its velocity...Ch. 2 - When an object moves with constant velocity, does...Ch. 2 - If one object has a greater speed than a second...Ch. 2 - Compare the acceleration of a motorcycle that...Ch. 2 - Can an object have a northward velocity and a...Ch. 2 - Can the velocity of an object be negative when its...Ch. 2 - Give an example where both the velocity and...Ch. 2 - Two cars emerge side by side from a tunnel. Car A...Ch. 2 - Can an object be increasing in speed as its...Ch. 2 - A baseball player hits a ball straight up into the...Ch. 2 - As a freely falling object speeds up, what is...Ch. 2 - You travel from point A to point B in a car moving...Ch. 2 - Can an object have zr velocity and nonzero...Ch. 2 - Can an object have zero acceleration and nonzero...Ch. 2 - Which of these motions is not at constant...Ch. 2 - In a lecture demonstration, a 3.0-m-long vertical...Ch. 2 - Describe in words the motion plotted in Fig. 236...Ch. 2 - Describe in words the motion of the object graphed...Ch. 2 - (I) If you are driving 110 km/h along a straight...Ch. 2 - What must your cars average speed be in order to...Ch. 2 - (I) A particle at t1 = 2.0 s is at x1 = 4.3 cm and...Ch. 2 - A rolling ball moves from x1 = 3.4 cm to x2 = 4.2...Ch. 2 - (II) According to a rule-of-thumb, every five...Ch. 2 - (II) You are driving home from school steadily at...Ch. 2 - (II) A horse canters away from its trainer in a...Ch. 2 - (II) T x = 34 + 10t 2t3, where t is in seconds...Ch. 2 - (II) The position of a rabbit along a straight...Ch. 2 - (II) On an audio compact disc (CD), digital bits...Ch. 2 - A car traveling 95 km/h is 110 m behind a truck...Ch. 2 - (II) Two locomotives approach each other on...Ch. 2 - (II) Digital bits on a 12.0-cm diameter audio CD...Ch. 2 - (II) An airplane travels 3100 km at a speed of 720...Ch. 2 - (II) Calculate the average speed and average...Ch. 2 - (II) The position of a ball rolling in a straight...Ch. 2 - (II) A dog runs 120m away from its master in a...Ch. 2 - (III) An automobile traveling 95 km/h overtakes a...Ch. 2 - (III) A bowling ball traveling with constant speed...Ch. 2 - (I) A sports car accelerates from rest to 95 km/h...Ch. 2 - (I) At highway speeds, a particular automobile is...Ch. 2 - (I) A sprinter accelerates from rest to 9.00m/s in...Ch. 2 - (I) Figure 2-37 shows the velocity of a train as a...Ch. 2 - (II) A sports car moving at constant speed travels...Ch. 2 - (II) A car moving in a straight line starts at x =...Ch. 2 - (II) A particular automobile can accelerate...Ch. 2 - (II) A particle moves along the x axis. Its...Ch. 2 - (II) The position of a racing car, which starts...Ch. 2 - (II) The position of an object is given by x = At...Ch. 2 - (I) A car slows down from 25 m/s to rest in a...Ch. 2 - (I) A car accelerates from 12 m/s to 21 m/s in 6.0...Ch. 2 - (I) A light plane must reach a speed of 32m/s for...Ch. 2 - (II) A baseball pitcher throws a baseball with a...Ch. 2 - (II) Show that =(+0)/2 (see Eq. 2-12d) is not...Ch. 2 - (II) A world-class sprinter can reach a top speed...Ch. 2 - (II) An inattentive driver is traveling 18.0 m/s...Ch. 2 - (II) A car slows down uniformly from a speed of...Ch. 2 - (II) In coming to a stop, a car leaves skid marks...Ch. 2 - (II) A car traveling 85 km/h slows down at a...Ch. 2 - (II) A car traveling at 105 km/h strikes a tree....Ch. 2 - (II) Determine the stopping distances for an...Ch. 2 - (II) A space vehicle accelerates uniformly from 65...Ch. 2 - (II) A 75-m-long train begins uniform acceleration...Ch. 2 - (II) An unmarked police car traveling a constant...Ch. 2 - (III) Assume in Problem 44 that the speeders speed...Ch. 2 - (III) A runner hopes to complete the 10,000-m run...Ch. 2 - (III) Mary and Sally are in a fool race (Fig....Ch. 2 - (I) A stone is dropped from the top of a cliff. It...Ch. 2 - (I) If a car rolls gently (v0 = 0) off a vertical...Ch. 2 - (I) Estimate (a) how long it took King kong to...Ch. 2 - (II) A baseball is hit almost straight up into the...Ch. 2 - (II) A ball player catches a ball 3.2 s after...Ch. 2 - (II) A kangaroo jumps to a vertical height of 1.65...Ch. 2 - (II) The best rebounders in basketball have a...Ch. 2 - (II) A helicopter is ascending vertically with a...Ch. 2 - (II) For an object falling freely from rest, show...Ch. 2 - (II) A baseball is seen to pass upward by a window...Ch. 2 - (II) A rocket rises vertically, from rest, with an...Ch. 2 - (II) Roger sees water balloons fall past his...Ch. 2 - (II) A stone is thrown vertically upward with a...Ch. 2 - (II) A falling stone takes 0.33 s to travel past a...Ch. 2 - (II) Suppose you adjust your garden hose nozzle...Ch. 2 - (III) A toy rocket moving vertically upward passes...Ch. 2 - (III) A ball is dropped from the top of a...Ch. 2 - (III) A rock is dropped from a sea cliff and the...Ch. 2 - (III) A rock is thrown vertically upward with a...Ch. 2 - (II) Given v(t) = 25 + 18t, where v is in m/s and...Ch. 2 - (III) The acceleration of a particle is given by...Ch. 2 - (III) Air resistance acting on a falling body can...Ch. 2 - A fugitive tries to hop on a freight train...Ch. 2 - The acceleration due to gravity on the Moon is...Ch. 2 - A person jumps from a fourth-story window 15.0 m...Ch. 2 - A person who is properly restrained by an...Ch. 2 - Pelicans tuck their wings and free-fall straight...Ch. 2 - Suppose a car manufacturer tested its cars for...Ch. 2 - A stone is dropped from the roof of a high...Ch. 2 - A bicyclist in the Tour de France crests a...Ch. 2 - Consider the street pattern shown in Fig. 247....Ch. 2 - In putting, the force with which a golfer strikes...Ch. 2 - A robot used in a pharmacy picks up a medicine...Ch. 2 - A stone is thrown vertically upward with a speed...Ch. 2 - Figure 250 is a position versus time graph for the...Ch. 2 - In the design of a rapid transit system, it is...Ch. 2 - A person jumps off a diving board 4.0 m above the...Ch. 2 - Bill can throw a ball vertically at a speed 1.5...Ch. 2 - Sketch the v vs. t graph for the object whose...Ch. 2 - A person driving her car at 45 km/h approaches an...Ch. 2 - A car is behind a truck going 25 m/s on the...Ch. 2 - Agent Bond is standing on a bridge, 13m above the...Ch. 2 - A police car at rest, passed by a speeder...Ch. 2 - A fast-food restaurant uses a conveyor belt to...Ch. 2 - Two students are asked to find the height of a...Ch. 2 - Figure 252 shows the position vs. time graph for...Ch. 2 - You are traveling at a constant speed vM, and...Ch. 2 - (III) A lifeguard standing at the side of a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
25. FIGURE EX4.25 shows the angular-velocity-versus-time graph for a particle moving in a circle, starting from...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Use a globe or map to determine, as accurately as possible, the latitude and longitude of Athens, Greece.
Applications and Investigations in Earth Science (9th Edition)
MAKE CONNECTIONS Using what you know of gene expression in a cell, explain what causes the traits of parents (...
Campbell Biology (11th Edition)
An obese 55-year-old woman consults her physician about minor chest pains during exercise. Explain the physicia...
Biology: Life on Earth with Physiology (11th Edition)
1.3 Obtain a bottle of multivitamins and read the list of ingredients. What are four chemicals from the list?
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Two culture media were inoculated with four different bacteria. After incubation, the following results were ob...
Microbiology: An Introduction
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 particle starts with an initial velocity 2:5 m/s along the positive x direction and it accelerates uniformly at the rate 0-50 m/s. (a) Find the distance travelled by it in the first two seconds. (b) How much time does it take to reach the velocity 7:5 m/s ? (c) How much distance will it cover in reaching the velocity 7-6 m/a ?arrow_forwardThe (c) answer is incorrect, the height the flea gets should be 0.051 m, not 4.95 x 10 ^ -6. Because its initial velocity after accelerating is 1 m / s, and the flea travels approximately 0.051 m before its velocity decreases to 0. Adding 0.051 m to 0.0005 m should get 0.051 m after rounding. Please check and edit the answer again.arrow_forwardThe position of a particle for t > 0 is given by r⃗ (t) = 43.02i + 7.0 t3j + 5.0 t-2k̂ m.( a)What is its speed at t = 1.0 s and t = 3.0 s? (b) What is the average velocity between t = 1.0 s and t = 2.0 s?arrow_forward
- A student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 2.4 s? Express the speed in mi/h for a familiar comparison.arrow_forwardAn airplane travels 2100 km at a speed of 720 km/h and then encounters a tailwind that boosts its speed to 990 km/h for the next 2800 km. What was the total time for the trip? What was the average speed of the plane for this trip?[Hint: Does Eq. 2–11d apply?arrow_forward(1) The position s(t) of an object moving along the x-axis is given by s(t) = 3t¹ – 8t³ . this problem s(t) is measured in meters, and t is measured in seconds. (a) What is the average velocity of the object over the interval [0, 2]? (b) (c) What is the instantaneous velocity of the object at t 2? 15 2 t². For Find all values of t in the interval [0, 5] when the object is momentarily stopped.arrow_forward
- An object moves along the x axis according to the equation x = 3.55t2 - 2.00t + 3.00, where x is in meters andt is in seconds. (a) Determine the average speed betweent = 1.80 s and t = 2.90 s. m/s (b) Determine the instantaneous speed at t = 1.80 s. m/s Determine the instantaneous speed at t = 2.90 s. m/s (c) Determine the average acceleration between t = 1.80 s and t = 2.90 s. m/s2 (d) Determine the instantaneous acceleration at t = 1.80 s. m/s2 Determine the instantaneous acceleration at t = 2.90 s. m/s? (e) At what time is the object at rest?arrow_forwardAn auto travels at the rate of 25 km/h for 4.0 minutes, then at 50 km/h for 8.0 minutes, and finally at 20 km/h for 2.0 minutes. Find (a) the total distance covered in km and (b) the average speed for the complete trip in m/s.arrow_forwardThe coordinate of an object is given as a function of time by x = 7t - 3t?, where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is: A) -11 m/s B 1 m/s 11 m/s D) 5 m/s Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given y x(t) = 27t – 4.0t, wheret is in seconds. The magnitudes of the initial (at t = 0) velocity and acceleration of the auto respectively are: A 27 m/s; 12 m/s? B 27 m/s; 0 m/s? © 0 m/s; 24 m/s? D 27 m/s; 24 m/s?arrow_forward
- At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s. (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?arrow_forward(b) Determine the acceleration at t = 2.0 s. SOLUTION (Use the following as necessary: t and At.) Knowing that the initial velocity at any time t is v, xi (39 – 0.8t2) m/s, find the velocity at any later time t + At: m/s Find the change in velocity over the time interval At: Δν. m/s To find the acceleration at any time t, divide this expression by At and take the limit of the result as At approaches zero: Av a = lim At-0 m/s? Δε Substitute t = 2.0 s (Enter your answer in m/s. Indicate the direction with the sign of your answer.): m/s?arrow_forward(a) The velocity of a particle changes from v = 2î + 5ĵ -3k m/s to V2= 5î - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7î + 3ĵ m/s² for a period of 4 s. After this time the velocity is V2 = 6î - 2k m/s. What was the initial velocity?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY