University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 3, Problem 47P
(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (b) Identify the time or times
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Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in the following figure. (a) Identify the time or times (ta, tb, tc, etc.) at which the acceleration has the greatest positive value. (b) At which times is it zero? (c) At which times is it negative?
An object is moving in the air (defying gravity) so that its height after t seconds is given by ℎ(t)=18sin(t)cos(t)+8t meters. (If you graph this function, you can see it's moving up and down, but going higher and higher as time goes on.)
a) At what time, t, does the object first change direction from going up to going down?
b) What is the acceleration (m/s^2) of the object at that same time?
Some experimental researcher tells us that the position of an object as a function of time is given by x(t) = at3 - bt2 + ct - d, where the constants are a = 3.6 m/s3, b = 4.0 m/s2, c = 60 m/s and d = 7.0 m. Find the average acceleration over the first 2.4 seconds.
A) 18 m/s/s
B) 54 m/s/s
C)36 m/s/s
D) 76 m/s/s
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...
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