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 2.69P
CALC The acceleration of a particle is given by ax(t) = −2.00 m/s2 + (3.00 m/s3)t. (a) Find the initial velocity υ0x such that the particle will have the same x-coordinate at t = 4.00 s as it had at t = 0. (b) What will be the velocity at t = 4.00 s?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The velocity of a particle (in meters per second) is given by v = 16t'i+ 4tj +
(5t + 2)k, wheret is in seconds. If the particle is at the origin when t = 0,
determine the magnitude of the particle's acceleration when t = 2 s. Also, what is
the x, y, z coordinate position of the particle at this instant?
a = 75.16 m s^-2 ;r = (36.67, 10, 8)
a = 80.16 m s^-2;r = (42.67, 16, 14)
a = 85.16 m s^-2;r = (48.67, 24, 20)
O None of the choices
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.
I need help here please
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
A solenoid has 12 turns per centimeter. What current will produce a magnetic field of 2.0102 T within the solen...
University Physics Volume 2
8. A 1000 kg car pushes a 2000 kg truck that has a dead battery. When the driver steps on the accelerator, the ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
41. A 0.300 kg oscillator has a speed of 95.4cm/s when its displacement is 3.00cm and 71.4 cm/s when its displ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
26.71 A 2.00-µF capacitor that is initially uncharged is connected in series with a 6.00-k? resistor and an emf...
University Physics with Modern Physics (14th 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 particle moving with an initial velocity v, = (10m/s)î and initial position 7, = (4m)î + (2m)j, undergoes an acceleration ở = 2t²î + 4ĵ in SI units. For t = 10 s; a) Calculate the velcoity v= vxI+ vy®. b) Calculate the position r= x+ y. c) What are the magnitudes of the velocity and the position vector of the particle? d) Find also the angle each vector is making with the x-axis at that time.arrow_forwardYou stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00 m/s. Before it hits the ground, the stone is traveling with a speed of 22.3 m/s. Let down be the positive vertical direction. Using the given coordinate system, what is the sign of the displacement of the stone from the point it is released until just before it hits the ground? O Negative Zero O Positivearrow_forwardA projectile reaches its maximum height H at time t0 > 0. What fraction of H does it reach at time 1/2 t0?arrow_forward
- A particle traveling along the parabolic path y = 0.25x. If x= (2t°) m, wheret is in seconds, determine the magnitude of the particle's acceleration in m/s? when t = 2 s.arrow_forwardThe acceleration vector of a particle is giving by a = -27 t2 j m/s4. The particle is located at the origin at t = 0 s and has an initial velocity Vo = 2(m/s) i + 3(m/s) j. Find: a) The velocity of the particle as a function of time. b) The maximum height the particle reaches.arrow_forwardAt time t=0.0s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial velocity at t=0.0 s given by: v=6.0m/si-2.0m/sj The particle experiences a constant acceleration beginning at t=0.0s that can be described by a = -2.0m/s² i +5.0m/s23 +3.0m/s² k (A) On coordinate axes (x and y) show the particle initial position and draw a vector which indicates the initial velocity of the particle. (B) If we want to determine the position of the particle at a later time t, which physics approach or equation(s) might we use to do so? (C) Find the position of the particle at t=4.0 s. Express your result in terms of the position vector in and j and k notation.arrow_forward
- Question 5:" Starting from x = o with no initial velocity, a particle is given an acceleration a = 0.1V7 + 16, where a and v are expressed in ft/s? and ft/s, respectively. Determine (a) the position of the particle when v = 3 it/s, (b) the speed and acceleration of the particle when x = 4 ft. Write your answer in the format (a. x = %3D ft; b. v_sp = ft/s , a ft/s^2) Your answerarrow_forwardA particle starts from the origin at t=0 with a velocity of 7.8 and moves in the xy plane with a constant acceleration of (4.4î + 3.0)) m/s² .At the instant the particle's x coordinate is 29 m, what are (a) its y coordinate and (b) its speed? (a) Number (b) Number 48 IM Units m Units m/sarrow_forwardA particle has an initial velocity of 5.00 m/s and it moves along the x-axis. Its acceleration is given by a = bt2, where %3D b is a constant equal to 2.00 m/s. Find the particle's velocity at t = 3.00 s. O 23.0 m/s 17.0 m/s O 18.0 m/s O 13.0 m/s O 12.0 m/sarrow_forward
- Solve plzarrow_forwardA speedboat moves on a lake with initial velocity vector ?1,?=8.81 m/sv1,x=8.81 m/s and ?1,?=−2.45 m/sv1,y=−2.45 m/s, then accelerates for 6.63 s6.63 s at an average acceleration of ?av,?=−0.109 m/s2aav,x=−0.109 m/s2 and ?av,?=0.101 m/s2aav,y=0.101 m/s2. What are the components of the speedboat's final velocity, ?2,?v2,x and ?2,?v2,y? ?2,?=v2,x= ? ?2,?=v2,y= ? Find the speedboat's final speed. final speed: ?arrow_forwardWhat is the instantaneous acceleration of a particle at t = 0.56 s whose position vector is given by the function 7= (2.1lt?)i + (3.6t) j. Assume all quantities are in Sl units. O ā = (0.66 m/s²)i + (2.0 m/s²)} O ā = (3.6 m/s?) Oā = (4.2 m/s²)î O ā = (2.1 m/s²)î + (3.6 m/s²)ĵarrow_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