Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.57P
Automotive engineers refer to the time rate of change of acceleration as the “jerk.” Assume an object moves in one dimension such that its jerk J is constant, (a) Determine expressions for its acceleration ax(t), velocity υx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, υxi, and xi, respectively, (b) Show that ax2 = axi2 + 2J(υx – υxi).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Automotive engineers refer to the time rate of change of acceleration as the “ jerk.” Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity υx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, υxi, and xi, respectively. (b) Show that ax2 = axi2 + 2J(υx - υxi).
Automotive engineers refer to the time rate of change of acceleration as the “jerk”. Assume an object moves in one dimension such that its jerk J is constant. (a) Determine expressions for its acceleration ax(t), velocity vx(t), and position x(t), given that its initial acceleration, velocity, and position are axi, vxi and xi, respectively. (b) Show that ax2 = axi2+ 2J (vx – vxi)
A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by υx(t)=(0.920m/s^3)t^2
What is the acceleration of the car when υx = 12.8 m/s ?
Express your answer with the appropriate units.
Chapter 2 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 2 - Are officers in the highway patrol more interested...Ch. 2 - Make a velocitytime graph for the car in Figure...Ch. 2 - If a car is traveling eastward and slowing down,...Ch. 2 - Which one of the following statements is true? (a)...Ch. 2 - In Figure 2.12, match each vxt graph on the top...Ch. 2 - Consider the following choices: (a) increases, (b)...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - A racing car starts from rest at t = 0 and reaches...Ch. 2 - A juggler throws a bowling pin straight up in the...Ch. 2 - When applying the equations of kinematics for an...
Ch. 2 - A cannon shell is fired straight up from the...Ch. 2 - An arrow is shot straight up in the air at an...Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A rock is thrown downward from the top of a...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - Oil another planet, a marble is released from rest...Ch. 2 - As an object moves along the .v axis, many...Ch. 2 - A pebble is dropped from rest from the lop of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Von drop a ball from a window located on an upper...Ch. 2 - A pebble is released from rest at a certain height...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Each of the strobe photographs (a), (b). and (c)...Ch. 2 - If the average velocity of an object is zero in...Ch. 2 - Try the following experiment away from traffic:...Ch. 2 - Prob. 2.3CQCh. 2 - Prob. 2.4CQCh. 2 - Prob. 2.5CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - (a) Can (he equations of kinematics (Eqs....Ch. 2 - (a) Can the velocity of an object at an instant of...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Section 2.1 Position, Velocity, and Speed The...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - A prison walks first al a constant speed of 5.00...Ch. 2 - A particle moves according to the equation x =...Ch. 2 - The position of a pinewood derby car was observed...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - An athlete leaves one end of a pool of length L at...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Review. The North American and European plates of...Ch. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - A car travels along a straight line at a constant...Ch. 2 - A person takes a trip, driving with a constant...Ch. 2 - Review. A 50.0-g Super Ball traveling al 25.0 m/s...Ch. 2 - A velocity-time graph for an object moving along...Ch. 2 - A child rolls a marble on a bent track that is 100...Ch. 2 - Figure P2.9 shows a graph of vx versus t for the...Ch. 2 - (a) Use the data in Problem 3 to construct a...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A panicle mows along the x axis according to the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Each of the strobe photographs (a), (b), and (c)...Ch. 2 - The minimum distance required to stop a car moving...Ch. 2 - An electron in a cathode-ray tube accelerates...Ch. 2 - A speedboat moving at 30.0 m/s approaches a...Ch. 2 - A parcel of air moving in a straight tube with a...Ch. 2 - A truck covers 40.0 m in 8.50 s while smoothly...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In Example 2.7, we investigated a jet landing on...Ch. 2 - Prob. 2.31PCh. 2 - Solve Example 2.8 by a graphical method. On the...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - Why is the following situation impossible?...Ch. 2 - The driver of a car slants on the brakes when he...Ch. 2 - Prob. 2.36PCh. 2 - A speedboat travels in a straight line and...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - An object moves with constant acceleration 4.00...Ch. 2 - At t = 0, one toy car is set rolling on a straight...Ch. 2 - Figure P2.43 represents part of the performance...Ch. 2 - A hockey player is standing on his skates on a...Ch. 2 - In Chapter 9, we will define the center of mass of...Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Why is the following situation impossible? Emily...Ch. 2 - A baseball is hit so that it travels straight...Ch. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - The height of a helicopter above the ground is...Ch. 2 - Prob. 2.51PCh. 2 - A ball is thrown upward from the ground with an...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A daring ranch hand sitting on a tree limb wishes...Ch. 2 - A package is dropped at time t = 0 from a...Ch. 2 - Automotive engineers refer to the time rate of...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - The speed of a bullet as it travels down the...Ch. 2 - A certain automobile manufacturer claims that its...Ch. 2 - The froghopper Philaenus spumarius is supposedly...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Ail inquisitive physics student and mountain...Ch. 2 - In Figure 2.11b, the area under the velocitytime...Ch. 2 - A ball starts from rest and accelerates at 0.5(H)...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - An elevator moves downward in a tall building at a...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - The Acela is an electric train on the...Ch. 2 - Two objects move with initial velocity 8.00 m/s,...Ch. 2 - At t = 0, one athlete in a race running on a long,...Ch. 2 - A catapult launches a test rocket vertically...Ch. 2 - Kathy tests her new sports car by racing with...Ch. 2 - Two students are on a balcony a distance h above...Ch. 2 - Two objects, A and B, are connected by hinges to a...Ch. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - A motorist drives along a straight road at a...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Lisa rushes down onto a subway platform to find...Ch. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A blue car of length 4.52 m is moving north on a...Ch. 2 - Review. As soon as a traffic light turns green, a...Ch. 2 - In a womens 100-m race, accelerating uniformly,...Ch. 2 - Two thin rods are fastened to the inside of a...Ch. 2 - A man drops a rock into a well, (a) The man hears...
Additional Science Textbook Solutions
Find more solutions based on key concepts
1. What are the temperatures for freezing water on the Celsius and the Fahrenheit scales, respectively? For boi...
Conceptual Physical Science (6th Edition)
An electric motor has an effective resistance of 32.0 and an inductive reactance of 45.0 when working under l...
Fundamentals Of Physics - Volume 1 Only
Check Your Understanding If the line spacing of a diffraction grating d is not precisely known, we can use a li...
University Physics Volume 3
Planetary Priorities. Suppose you were in charge of developing and prioritizing future planetary missions for N...
Essential Cosmic Perspective
Explain what happens to the energy carried by light that it is dimmed by passing it through two crossed polariz...
College Physics
Why doesnt Earths rotation provide a suitable time standard?
Essential University Physics (3rd 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
- The coordinates of an object moving in the xy plane vary with time according to the equations x = -5.00 sin ωt and y = 4.00 - 5.00 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds. (a) Determine the components of velocity of the object at t = 0. (b) Determine the componentsof acceleration of the object at t = 0. (c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (d) Describe the path of the object in an xy plot.arrow_forwardYour answer is partially correct. A particle leaves the origin with an initial velocity = (2.54î) m/s and a constant acceleration a ( − 4.67î – 1.95ĵ) m/s². When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number -1.07 (b) Number Save for Later i î+ Ĵ Units i m/s Ĵ Unitsarrow_forwardI was wondering how to do this problem. What equation do I need to do to answer this question? And how much do I estimate the last question?arrow_forward
- O Macmillan Learning Consider the x-t plot shown. For each defined interval identify the sign (that is, + or -) of velocity v and acceleration a. Between 0 s and 2 s, the velocity is and the acceleration is 4 3 2 АА x (m) Between 5 s and 5.8 s, the velocity is and 3 the acceleration is -1 For times greater than 5.8 s, the velocity is and the acceleration is -2 4 6 7 t(s)arrow_forwardAsap plzzzzzarrow_forwardThe acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.9î + 18.4ĵ) m/s. At t = 3.1 s the velocity is 11.4ĵ m/s. (Use the following as necessa (a) What is the particle's acceleration (in m/s²)? a = -4.81 Î+ -2.28 m/s? (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = v(t) m/sarrow_forward
- The coordinate of an object is given as a function of time by.x(1)=7t-312, wherex in meter and t in seconds. Calculate the average velocity between t=0,and t=2 s. + 2 m/s - 2 m/s - 5 m/s + 1 m/s +9 m/sarrow_forwardHere is a typical distance equation found in calculus textbooks. The distance s, in metres, at any time t is given by s = 12- 10t + 2t^2. Find the distance s, whent=2arrow_forwardThe acceleration of an object moving in a strange way has been modelled as a = e^x x.A) use integration by parts to find an equation to model the velocity v if v = ∫ e^x x dx (the x is the letter x not multiplication)B) is the problem any different if you find v = ∫ xe^x dx?arrow_forward
- he position of an object moving along an x axis is given by x = 3.27 t - 4.20 t2 + 1.02 t3, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity from t = 2 s to t = 4 s?arrow_forwardFinding x(t) and v(t) by Integration 5. The acceleration of a jeepney is given by a, (t) = at – ßt? т where a = 1.50 m/.3 and ß = 0.120 m /s4 The motorcycle is at rest at the origin when time t = 0. a. Find its position and velocity as functions of time. b. Calculate the maximum velocity it attains.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_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
Speed Distance Time | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=EGqpLug-sDk;License: Standard YouTube License, CC-BY