University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 78P
The acceleration of a particle varies with time according to the equation
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 2: The position of a particle is given by the following expression, where t is time
measured in seconds: r(t) = [(3.65 m/s?)f²]į+ (-4.23 m)j + [(4.48 m/s³)r*]k.
Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s?
Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s?
Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t =
1.65 s?
Part (d) What is the magnitude of the average velocity, in m/s, betweent = 0.00 s and t = 1.65
s?
Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s
make with the z axis?
The acceleration of a particle varies with time according to the equation a(t) = pt2 − qt3 . Initially, the velocity and position are zero. (a) What is the velocity as a function of time? (b) What is the position as a function of time?
The 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/s²
Chapter 3 Solutions
University Physics Volume 1
Ch. 3 - Check your Understanding A cyclist rides 3 km west...Ch. 3 - Check your Understanding The position of an object...Ch. 3 - Check Your Understanding Protons in a linear...Ch. 3 - Check Your Understanding An airplane lands on a...Ch. 3 - Check Your Understanding A manned rocket...Ch. 3 - Check Your Understanding A bicycle has a constant...Ch. 3 - Check Your Understanding A chunk of ice beaks off...Ch. 3 - Check Your Understanding A particle starts from...Ch. 3 - Position, Displacement, and Average Velocity Give...Ch. 3 - Under what circumstances does distance traveled...
Ch. 3 - Bacteria move back and forth using their flagella...Ch. 3 - Give an example of a device used to measure time...Ch. 3 - Does a car’s odometer measure distance traveled or...Ch. 3 - During a given time interval the average velocity...Ch. 3 - There is a distinction between average speed and...Ch. 3 - Does the speedometer of a car measure speed or...Ch. 3 - If you divide the total distance traveled on a car...Ch. 3 - How are instantaneous velocity and instantaneous...Ch. 3 - Is it possible for speed to be constant while...Ch. 3 - Is it possible for velocity to be constant while...Ch. 3 - Give an example in which velocity is zero yet...Ch. 3 - If a subway train is moving to the left (has a...Ch. 3 - Plus and minus signs are used in one-dimensional...Ch. 3 - Motion with Constant Acceleration When analyzing...Ch. 3 - State two scenarios of the kinematics of single...Ch. 3 - What is the acceleration of a rock thrown straight...Ch. 3 - An object that is thrown straight up falls back to...Ch. 3 - Suppose you throw a rock nearly straight up at a...Ch. 3 - The severity of a fall depends on your speed when...Ch. 3 - How many times higher could an astronaut jump on...Ch. 3 - Finding Velocity and Displacement from...Ch. 3 - Position, Displacement, and Average Velocity...Ch. 3 - A car is 2.0 km west of a traffic light at t=0 and...Ch. 3 - The Shanghai maglev train connects Longyang Road...Ch. 3 - The position of a particle moving along the x...Ch. 3 - A cyclist rides 8.0 km east for 20 minutes, then...Ch. 3 - On February 15, 2013, a superbolide meteor...Ch. 3 - A woodchuck runs 20 m to the right in 5 s, then...Ch. 3 - Sketch the velocity-versus-time graph from the...Ch. 3 - Sketch the velocity-versus-time graph from the...Ch. 3 - Given the following velocity-versus-time graph,...Ch. 3 - An object has a position function x(t)=5tm . (a)...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - Unreasonable results. A particle moves along the x...Ch. 3 - Average and Instantaneous Acceleration A cheetah...Ch. 3 - Dr. John Paul Stapp was U.S. Air Force officer who...Ch. 3 - Sketch the acceleration-versus-time graph from the...Ch. 3 - A commuter backs her car out of her garage with an...Ch. 3 - Assume an intercontinental ballistic goes from...Ch. 3 - An airplane, starting from rest, move down the...Ch. 3 - Motion with Constant Acceleration A particle moves...Ch. 3 - A particle moves in a straight line with an...Ch. 3 - A particle moves in a straight line with an...Ch. 3 - (a) Sketch a graph of velocity versus time...Ch. 3 - (a) Sketch a graph of acceleration versus time...Ch. 3 - A particle has a contant acceleration of 6.0m/s2 ....Ch. 3 - At t=10s , a particle is moving from left to right...Ch. 3 - A well-thrown ball is caught in a well-padded...Ch. 3 - A bullet in a gun is accelerated from the firing...Ch. 3 - (a) A light-rail commuter train accelerates at a...Ch. 3 - While entering a freeway, a car accelerates from...Ch. 3 - Unreasonable results At the end of a race, a...Ch. 3 - Blood is accelerated from rest to 30.0 cm/s in a...Ch. 3 - During a slap shot, a hockey player accelerates...Ch. 3 - A powerful motocycle can accelerate from rest to...Ch. 3 - Freight trains can product only relatively small...Ch. 3 - A fireworks shell is accelerated from rest to a...Ch. 3 - A swan on a lake gets airborne by flapping its...Ch. 3 - A woodpecker’s brain is specially protected from...Ch. 3 - An unwary football player collides with a padded...Ch. 3 - A care package is dropped out of a cargo plane and...Ch. 3 - An express train passes through a station. It...Ch. 3 - Unreasonable results Dragsters can actually reach...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - Calculate the displacement and velocity at times...Ch. 3 - A basketball referee tosses the ball straight up...Ch. 3 - A rescue helicopter is hovering over a person...Ch. 3 - Unreasonable results A dolphin in an aquatic show...Ch. 3 - A diver bounces straight up from a diving board,...Ch. 3 - (a) Calculate the height of a cliff if it takes...Ch. 3 - A very strong, but inept, shot putter puts the...Ch. 3 - You throw a ball straight up with an initial...Ch. 3 - A kangaroo can jump over an object 2.50 m high....Ch. 3 - Standing at the base of one of the cliffs of Mt....Ch. 3 - There is a 25O-m-high cliff at Half Dome in...Ch. 3 - The acceleration of a particle varies with time...Ch. 3 - Between t=0 and t=t0 , a rocket moves straight...Ch. 3 - The velocity of a particle moving along the x...Ch. 3 - A particle at rest leaves the origin with its...Ch. 3 - Professional baseball player Nolan Ryan could...Ch. 3 - An airplane leaves Chicago and makes the 3000-km...Ch. 3 - Unreasonable Results A cyclist rides 16.0 km east,...Ch. 3 - An object has an acceleration of +1.2cm/s2 . At...Ch. 3 - A particle moves along the x -axis according to...Ch. 3 - A particle moving at constant acceleration has...Ch. 3 - A train is mowing up a steep grade at constant...Ch. 3 - An electron is moving in a straight line with a...Ch. 3 - An ambulance driver is rushing a patient to the...Ch. 3 - A motorcycle that is slowing down uniformly covers...Ch. 3 - A cyclist travels from point A to point B in 10...Ch. 3 - Two trains are moving at 30 m/s in opposite...Ch. 3 - A 10.0-m-long truck moving with a constant...Ch. 3 - A police car waits in hiding slightly off the...Ch. 3 - Pablo is running in a half marathon at a velocity...Ch. 3 - Unreasonable results A runner approaches the...Ch. 3 - An airplane accelerates at 5.0m/s2 for 30.0 s....Ch. 3 - Compare the distance traveled of an object that...Ch. 3 - An object is moving east with a constant velocity...Ch. 3 - A ball is thro straight up. It passes a...Ch. 3 - A coin is dropped from a hot-air balloon that is...Ch. 3 - A soft tennis ball is dropped onto a hard floor...Ch. 3 - Unreasonable results. A raindrop falls from a...Ch. 3 - Compare the time in the air of a basketball player...Ch. 3 - Suppose that a person takes 0.5 s to react and...Ch. 3 - A hot-air balloon rises from ground level at a...Ch. 3 - (a) A world record was se for the men’s 100-m dash...Ch. 3 - An object is dropped from a height of 75.0 m above...Ch. 3 - A steel ball is dropped onto a hard floor from a...Ch. 3 - An object is dropped from a roof of a building of...Ch. 3 - In a 100-rn race, the winner is timed at 11.2 s....Ch. 3 - The position of a particle moving along the x...Ch. 3 - A cyclist sprints at the end of a race to clinch a...Ch. 3 - In 1967, New Zealander Burt Munro set the world...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The following data were obtained from a disk-diffusion test. Antibiotic Zone of Inhibition A 15 mm B 0 mm c 7 m...
Microbiology: An Introduction
The number of named species is about ________, but the actual number of species on Earth is estimated to be abo...
Biology: Life on Earth with Physiology (11th Edition)
The distances you obtained in Question 3 are for only one side of the ridge. Assuming that a ridge spreads equa...
Applications and Investigations in Earth Science (9th Edition)
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
WHAT IF? A chicken has 78 chromosomes in its somatic cells. How many chromosomes did the chicken inherit from ...
Campbell Biology (11th Edition)
Use the key to classify each of the following described tissue types into one of the four major tissue categori...
Anatomy & Physiology (6th 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
- v → = ( 6 t − 4 t 2 ) i ^ − 8 j ^. Here v → is in meters per second and t in seconds. (a) What are the position, speed, and acceleration of the particle when t = 4.3 s? (b) When (if ever) is the acceleration zero? Prove your answer. (c) When (if ever) is the velocity zero? Prove your answer.arrow_forwardThe acceleration of a particle varies with time according to the equation a(t) = pt2 − qt3. Initially, the velocity and position are zero. (a) What is the velocity as a function of time? What is the position as a function of time? (b) What are the position and velocity for the times t = 0 and t = 2 s? (c) What are the average velocity and acceleration for the interval t = 0 to t = 2 s?arrow_forwardThe acceleration of a particle is given by a = 2t - 15, 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 5o = -6 m, and the initial velocity is vo= 5 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.9 s, S= i V= a= i i m m/s m/s²arrow_forward
- The velocity (in m/s) of a particle is given by v(t) = 2t- 6 where t is the time in seconds. During the interval 0arrow_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 equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.arrow_forwardThe motion of a particle is defined by the equations x = 10t – 5 sin t and y = 10 – 5 cos t, where x and y are expressed in feet and t is expressed in seconds. Sketch the path of the particle for the time interval 0 sts 2p, and determine (a) the magnitudes of the smallest and largest velocities reached by the particle, (b) the corresponding times, positions, and directions of the velocities.arrow_forwardAn object is travelling in 1-dimension (i.e. along the x- axis) with a velocity described by the equation: v(t)=v0+1/6st^3 , where s and v0 are constants. The object’s position, and acceleration at time t = 0 are given by d0, and a0 respectively. In terms of the variables given, what is the average acceleration of the object over the interval from 0 to 2 seconds.arrow_forwardBetween t = 0 and t = t0, a rocket moves straight upward with an acceleration given by a(t) = A − Bt1 /2 , where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B? (b) If the rocket starts from rest, how does the velocity vary between t = 0 and t = t0? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?arrow_forwardA particle’s velocity along the x-axis is described byv(t) = A t + B t2,where t is in seconds, v is in meters per second, A = 1.14 m/s2, and B = -0.56 m/s3. What is the acceleration, in meters per second squared, of the particle at time t0 = 1.0 s? What is the displacement, in meters, of the particle between times t0 = 1.0 s and t1 = 3.0 s? What is the distance traveled, in meters, by the particle between times t0 = 1.0 s and t1 = 3.0 s?arrow_forwardAn objects position in the x-direction as a function of time is given by the expression: x(t)=5t^2 + 2t where are quantities have proper SI units. What's the objects average velocity in the x-direction between the times t=1.15s and t=2.07s. (Just enter the number rounded to 3 significant figures and assume it has proper SI units)arrow_forwardA particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is in meters per second, A = 3.56, and B = -1.5 what is the acceleration, in meters per second squared, of the particle position at x = 2.31m?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_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