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 2.68P
CALC An object’s velocity is measured to be vx(t) = α − βt2, where α = 4.00 m/s and β = 2.00 m/s3, At t = 0 the object is at x = 0. (a) Calculate the object’s position and acceleration as functions of time, (b) What is the object’s maximum positive displacement from the origin?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The coordinates of a particle moving along a curve
are x(t) = -2t2 +15 and y(t) = t2 -10t + 15 , m whent is
in seconds. Calculate the magnitude of velocity and
acceleration when t= 5 sec.
A
n
C
D
B
02 4 6 8 10 12
position x(m)
Part (a) What is the distance traveled, in meters, for path D?
X Attempts Remain
Part (b) What is the magnitude of the displacement from start to finish, in meters, for path D?
Part (c) What is the displacement from start to finish, in meters, for path D?
CALC An object's velocity is measured to be U₁(1) = a - Br², where a = 4.00 m/s and ß = 2.00 m/s³. At t = 0 the object is at x = 0. (a) Calculate the object's position and accel cration as functions of time. (b) What is the object's maximum positive displacement from the origin?
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
42. A bicycle wheel is rotating at 50 rpm when the cyclist begins to
pedal harder, giving the wheel a constant...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
How does the net work done on cart A(Wnet,A) compare to the net work done on cart B(Wnet,B) ? Explain. Is the k...
Tutorials in Introductory Physics
Choose the best answer to each of the following. Explain your reasoning. Which of the following is not true abo...
The Cosmic Perspective Fundamentals (2nd Edition)
What happens to the brightness in a lamp of any kind when the current in it increases?
Conceptual Integrated Science
40. A 5.0-rn-diameter merry-go-round is initially turning with a
4.0 s period. It slows down and stops in 20 s...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
During a hailstorm, hailstones with an average mass of 2 g and a speed of 15 m/s strike a window pane at 45 ang...
An Introduction to Thermal Physics
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
- nt The position of a particle as it moves horizontally is described by the given equation s(t) = 12 sin +15. If s is the displacement, in metres, and t is the time, in seconds, do the following:arrow_forwardThe acceleration of a particle is given by a = 2t-20, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -5 m, and the initial velocity is vo = 6 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 5.1 s, S= V = a = Mi MI i m m/s m/s²arrow_forwardQuestion 3: The relation of the magnitude of the acceleration and the speed of a particle is given by a = -av? where a, a, and v are the magnitude of the acceleration, a positive number, and the speed, respectively. The particle starts the motion at the origin, = 0) = 0, with initial speed vo. What is constant a (in the appropriate unit) if the speed of the particle becomes vo/2 at x = 2 meters. Select one: O 2ln2 In2 4 In2 2 O 4ln2 O In2arrow_forward
- A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f ]i + [(3.0 m)t - (2.00 m/s2)rlj a. Find the distance it covered in the first minute. b. Find the general expression of the instantaneous acceleration of the particle.arrow_forwardWelcome Rotonda is a roundabout which is about 30 m in diameter. Coming from Quezon City to exit towards España Blvd., a rider on a bicycle increases his speed on the roundabout at a constant rate, from 15 to 25 kph over a distance of 28 m. a. Determine the magnitude of the total acceleration of the bicycle 3 s after he begins to increase his speed. Determine the magnitude of the total acceleration as he exits the roundabout. please include drawings if possible thank you!arrow_forwardWhen it is possible to say that the value of average velocity is approximately the same as the instantaneous velocity? A BI.arrow_forward
- A proton initially has the velocity v=4ı-2j+3k and then 4s later has the velocity v=-2ı-2j+5k (in meters per second). For that 4s find the following quantities; A)the proton's average acceleration aavg in unit-vector notation. B)the magnitude of aavg C) the angle between aavg and the positive direction of the x axis.arrow_forwardThe velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.4 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.8 s, V = i m/s, a = i m/s2 When t = 3.7 s, V = i m/s, a = i m/s? When t = 4.7 s, V = i m/s, a = i m/s? When a = 0, V = m/sarrow_forwardThe driver of a car traveling on the highway suddenly slams on the brakes because of a slowdown in traffic ahead. a) If the car’s speed decreases at a constant rate from 75 mi/hmi/h to 40 mi/hmi/h in 3.0 ss, what is the magnitude of its acceleration, assuming that it continues to move in a straight line? b) What distance does the car travel during the braking period?arrow_forward
- A particle travels along a straight-line path y = 0.7x. If the x component of the particle's velocity is v, = (2.5t²) m/s, where t is in seconds, determine the magnitude of the particle's acceleration when t = 4 s. yarrow_forwardQ.1 motion of a particle is The x = 21 - 18t? + 48t – 16, where x and t are expressed in millimeters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and the total distance traveled when the acceleration is defined by the relation zero.arrow_forwardinm s 3. An object slides from rest down a regular, sloped surface. Its positions from the starting point, at intervals of 0.2 s, are given in the table below: Time (s) 0.0 0.2 0.4 0.6 0.8 Displacement (m) 0.0 0.03 o0.13 0.30 0.53 a) Calculate the acceleration. b) Determine the displacement of the object after a further 0.2 seconds.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
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY