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 2.7E
CALC A car is stopped at a traffic light. It then travels along a straight road such that its distance from the light is given by x(t) = bt2 − ct3, where b = 2.40 m/s2 and c = 0.120 m/s3. (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s, and t = 10.0 s. (c) How long after starting from rest is the car again at rest?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
On a one lane road, a person driving a car at v1 = 76 mi/h suddenly notices a truck d = 1.9 mi in front of him. That truck is moving in the same direction at v2 = 45 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure below.
a)Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt.
b)Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a.
c)Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.
d)Enter an expression for Δx1 in terms of Δx2 and d when the driver just barely avoids collision.
e)Enter an expression for Δx1 in terms of v1, v2, and Δt.
f)Enter an expression for Δt in terms of d, v1, and v2.
g)…
A Lamborghini Aventador travels in a straight line along a road. Its position from a stop sign is given as a function of time by x(t) = at4 − bt6, where a = 4.50 m/s4, and b = 0.0200 m/s6. Determine the instant when the car is at rest again, together with its acceleration at that instant.
A jet plane comes in for a landing with a speed of 100 m/s, and its acceleration can have a maximum magnitude of 5.00 m/s^2 as it comes to rest, from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
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
3 (I) If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 54 cm × 31 cm x 22 cm,...
Physics: Principles with Applications
Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. (...
College Physics
1. A racing car drives at constant speed around the horizontal track shown in Figure 6.27. At points A, B, and ...
College Physics (10th Edition)
In this activity, we will use a representation of the atom in which a central nucleus containing the protons an...
Lecture- Tutorials for Introductory Astronomy
The ring in Example 20.6 carries total charge Q, and the point P is the same distance r=x2+a2 from all parts of...
Essential University Physics: Volume 2 (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
- A car stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t)=〖bt〗^2-〖ct〗^3 where, b=2.40m/s^2 and c=0.120m/s^3 a) Calculate the average velocity of the car for the time interval t=0s to t=10.0s b) Calculate the instantaneous velocity of the car at t=0s; t=5.0s; and t=10.0sarrow_forwardOn a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. 1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. a = ( v2 - v1 )/Δt Δt = ( 2 ) ( d )/( v1 - v2 ) 2. Calculate the value of a in meters per second squared.arrow_forwardOn a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure. Part (a) Enter an expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.arrow_forward
- On a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the figure. The expression, in terms of defined quantities, for the distance, Δx2, traveled by the truck during the time interval Δt is deltax2= v2 times delta t. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt. (d) enter an expression for delta x1 in terms of delta x2 and d when the drive just barely avoids collision.arrow_forwardIf a ball is thrown straight up into the air with an initial velocity of 70 ft/s, it height in feet after ? second is given by y=70t−16t^2. Find the average velocity for the time period begining when t=2 and lasting 0.1 seconds = 0.01 seconds= 0.001 seconds= Finally based on the above results, guess what the instantaneous velocity of the ball is when ?=2.arrow_forwardMost important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?arrow_forward
- A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s2 as it comes to rest from the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?arrow_forwardA body moves on a coordinate line such that it has a position s=f(t)=t2−8t+7 on the interval 0≤t≤7, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction?arrow_forwardA car is stopped at a traffic light. It then travels along a straight road so that it's distance from the light is given by x(t) = bt^2-ct^3, where b = 2.40 m/s^2 and c = 0.120 m/s^3. Calculate the average velocity of the car for time interval t= 0 to t = 10.0 s. b) Calculate the instantaneous velocity of the car at t = 0, t = 5.0 s and t = 10.0 s. c) How long after starting from rest is the car again at rest?arrow_forward
- A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous velocity of the car at t = 5 s?arrow_forwardIn a baseball game the initial speed of a ball was measured to be 43 m/s. The batter hits and send the ball in the opposite direction with a speed of 51 m/s. Assuming the flight trajectories are horizontal and linear; and the bat-ball contact time is 1.0 ms, find the average acceleration of the ball.arrow_forwardA car, moving to the left in a straight line in the negative x-direction, travels a distance d=17 m during the time interval deltat = 19.5 s. In this case, must there be an instant at which the speed of the car is equal to its average speed? Answer choices are: No, Cannot Determine, or Yes.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY