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
A car 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)=at2-Bßt3, where a = 2.25 m/s² and B = 0.0550 m/s³. Calculate the
average velocity of the car for the time interval to = 0 tot = 3.00 s .
%D
A car accelerates from rest at a rate of 5.00 m/s2 and travels a distance D. The car
then reverses and returns to its original location moving at an average speed of 20.0
m/s. If the total time of travel is 20.0 s, determine the distance D.
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=10.0s
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
- Plz asaparrow_forwardYou drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final speed of the object as it hits the floor? (Speed is a magnitude and so must be a positive value). Assume the magnitude of the acceleration due to gravity g = 9.8 m/s2. Give your answer to 2 s.f.arrow_forwardA "superman" is sitting on a tree 98 m high with a child he has rescued from the claws of a tiger. Unfortunately, the child slips and falls with an initial velocity of zero. The "superman" realized what was happening 2 seconds later and flew to catch the child at a constant speed of 39.2 m s-1. Calculate : a) the time the "super man" will fly before catching the child. b) the distance the "super man" will fly to catch the child. Assume that the acceleration due to gravity, g = 9.8 m s-2.arrow_forward
- A driver of a truck, traveling along a straight road at 66 fps, is forced to apply the brakes to avoid an accident. If the brakes supply a constant deceleration of 22 ft/s?, determine a) the truck's velocity v and position s at anytime t. b) how long will it take the truck to come to a stop? c) how far will the the truck travel before stopping? ANS: a) v(t) = 66 – 22t and s(t)= 66t – 11t?; b) 3 secs. ; c) 99 ftarrow_forwardThe velocity of a particle moving along the x-axis varies in time according to the expression v(t) = α - βt2 where α = 52.9m/s , β = 3.72m/s3, and t is in seconds. a) Find the acceleration in the time interval from t = 0 to 2.97s in units of m/s2 b) Determine the acceleration of the particle tf = 2.97s in m/s2arrow_forwardSarah is driving on a freeway in a forest at 13.0m/s when suddenly a deer runs in front of her and stands still out of fright. The deer is 20.0m in front of Sarah when she steps on the brakes with a deceleration of magnitude 4.59 m/s2A) Find the stopping distance of Sarah. Does she hit the deer? Give support to your explanation.B) How long (how much time) does it take Sarah to travel half of the stopping distance in part (a)?arrow_forward
- A student begins at rest and then walks north at a speed of v1=0.65m/s. The student then turns south and walks at a speed of v2=0.28m/s. Take north to be the positive direction. a)What is the student's overall average velocity vavg, in meters per second, for the full trip assuming the student spent equal times at speeds v1 and v2? b) If the student travels in the stated directions for 30.0s30.0s at speed v1 and 20.0s at speed v2, what is the net displacement, in meters, during the trip? c) If it takes the student 1.2s to reach the speed v1, from rest, what is the magnitude, in meters per squared second, of the student’s average acceleration during that time?arrow_forwardA car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by ?(?) = ??^2 − ??^3, where ? = 2.40 ?/?^2 and ? = 0.120 ?/?^3. a) Calculate the average velocity of the car for time interval ? = 0 to ? = 10.0?. b) Calculate the instantaneous velocity of the car at ? = 0, ? = 5.0?, and ? = 10.0?. c) How long after starting from rest is the car again at rest?arrow_forwardrocket, on an unknown planet, launches straight upward. Starting from rest, the rocket accelerates until it reaches 25 m/s then maintains that velocity until its boosters shut off. It eventually falls back to the planet. ASSUME: Starting at t = 0, the rocket accelerates upwards a total distance of 10 m, where it reaches an instantaneous velocity of 25 m/s The moment it reaches an instantaneous velocity of 25 m/s, it travels 30 m upward at a constant speed, then the engines cut off. The moment the engines cut off: the rocket is in free fall From the time it initially launches (t = 0) to the time it lands back on the planet is 7 s The acceleration due to gravity is constant on this planet. HOWEVER you may not assume g = 10 m/s2 Air resistance is negligible DETERMINE: The acceleration due to gravity on this planetarrow_forward
- MY NOTES ASK YOUR TEACHER A cab driver heads south with a steady speed of v, -20.0 m/s for t-3.00 min, then makes a right turn and travels at v₂ - 25.0 m/s for fy 2.20 min, and then drives northwest at v₂ - 30.0 m/s for ty-1.00 min. For this 6.20-min trip, calculate the following. Assume +x is in the eastward direction. (a) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) Im magnitude direction (b) average speed (in m/s) m/s south of west (c) average velocity (Enter the magnitude in m/s and the direction in degrees south of west.) magnitude: direction m/s south of westarrow_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_forwardA particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) = At2 + Bt + C, where A = 4.5 m/s3, B = 3.6 m/s2, and C = −1.7 m/s. a) Find the average acceleration of the particle between t = 0 s and 2.5 s. b) Find the average acceleration of the particle between t = 2.5 s and 5.0 s. c) At what time(s) is the particle at rest?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