Solutions for University Physics Volume 1
Problem 3.1CYU:
Check your Understanding A cyclist rides 3 km west and then tune around and tides 2 kin east. (a)...Problem 3.2CYU:
Check your Understanding The position of an object as a function of time is x(t)=3t2m . (a) What is...Problem 3.3CYU:
Check Your Understanding Protons in a linear accelerator are accelerated from rest to...Problem 3.4CYU:
Check Your Understanding An airplane lands on a runway traveling east. Describe its acceleration.Problem 3.5CYU:
Check Your Understanding A manned rocket accelerates at a rate of 20m/s2 during launch. How long...Problem 3.6CYU:
Check Your Understanding A bicycle has a constant velocity of 10 m/s. A person starts from rest and...Problem 3.7CYU:
Check Your Understanding A chunk of ice beaks off a glacier and falls 30.0 m before it hits the...Problem 3.8CYU:
Check Your Understanding A particle starts from rest and has an acceleration function 510tm/s2 . (a)...Problem 1CQ:
Position, Displacement, and Average Velocity Give an example in which there are clear distinctions...Problem 2CQ:
Under what circumstances does distance traveled equal magnitude of displacement? What is the only...Problem 3CQ:
Bacteria move back and forth using their flagella (structures that look like little tails). Speeds...Problem 4CQ:
Give an example of a device used to measure time and identify what change in that device indicates a...Problem 6CQ:
During a given time interval the average velocity of an object is zero. What can you say conclude...Problem 7CQ:
There is a distinction between average speed and the magnitude of average velocity. Give an example...Problem 9CQ:
If you divide the total distance traveled on a car trip (as determined by the odometer) by the...Problem 10CQ:
How are instantaneous velocity and instantaneous speed related to one another? How do they differ?Problem 14CQ:
If a subway train is moving to the left (has a negative velocity) and then comes to a stop, what is...Problem 15CQ:
Plus and minus signs are used in one-dimensional motion to indicate direction. What is the sign of...Problem 16CQ:
Motion with Constant Acceleration When analyzing the motion of a single object, what is the required...Problem 17CQ:
State two scenarios of the kinematics of single object where three known quantities require two...Problem 18CQ:
What is the acceleration of a rock thrown straight upward on the way up? At the top of its flight?...Problem 19CQ:
An object that is thrown straight up falls back to Earth. This is one-dimensional motion. (a) When...Problem 20CQ:
Suppose you throw a rock nearly straight up at a coconut in a palm tree and the rock just misses the...Problem 21CQ:
The severity of a fall depends on your speed when you strike the ground. All factors but the...Problem 22CQ:
How many times higher could an astronaut jump on the Moon than on Earth if her takeoff speed is the...Problem 23CQ:
Finding Velocity and Displacement from Acceleration When given the acceleration function, what...Problem 24P:
Position, Displacement, and Average Velocity Consider a coordinate system in which the positive x...Problem 25P:
A car is 2.0 km west of a traffic light at t=0 and 5.0 km east of the light at t=6.0min . Assume the...Problem 26P:
The Shanghai maglev train connects Longyang Road to Pudong International Airport, a distance of 30...Problem 27P:
The position of a particle moving along the x -axis is given by x(t)=4.02.0tm . (a) At what time...Problem 28P:
A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km....Problem 29P:
On February 15, 2013, a superbolide meteor (brighter than the Sun) entered Earth’s atmosphere over...Problem 30P:
A woodchuck runs 20 m to the right in 5 s, then rums and runs 10 m to the left in 3 s. (a) What is...Problem 34P:
An object has a position function x(t)=5tm . (a) What is the velocity as a function of time? (b)...Problem 35P:
A particle moves along the x -axis according to x(t)=10t2m . (a) What is the instantaneous velocity...Problem 36P:
Unreasonable results. A particle moves along the x -axis according to x(t)=3t3+5t . At what time is...Problem 37P:
Average and Instantaneous Acceleration A cheetah can accelerate from rest to a speed of 30.0 m/s in...Problem 38P:
Dr. John Paul Stapp was U.S. Air Force officer who studied the effect of extreme acceleration on the...Problem 39P:
Sketch the acceleration-versus-time graph from the following velocity-versus-time graph.Problem 40P:
A commuter backs her car out of her garage with an acceleration of 1.40m/s2 . (a) How long does it...Problem 41P:
Assume an intercontinental ballistic goes from rest to a suborbital speed of 6.50 km/s 60.0 s (the...Problem 42P:
An airplane, starting from rest, move down the runway at constant for 18 s and then takes off at a...Problem 43P:
Motion with Constant Acceleration A particle moves in a straight line at constant velocity of 30...Problem 44P:
A particle moves in a straight line with an initial velocity of 0 m/s and a constant acceleration of...Problem 45P:
A particle moves in a straight line with an initial velocity of 30 m/s and constant acceleration...Problem 46P:
(a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time...Problem 47P:
(a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time...Problem 48P:
A particle has a contant acceleration of 6.0m/s2 . (a) If its initial velocity is 2.0 m/s, at what...Problem 49P:
At t=10s , a particle is moving from left to right with a speed of 5.0 m/s. At t=20s , the particle...Problem 50P:
A well-thrown ball is caught in a well-padded mitt. If the acceleration of the ball is 2.10104m/s2 ,...Problem 51P:
A bullet in a gun is accelerated from the firing chamber to the end of the barrel at an average rate...Problem 52P:
(a) A light-rail commuter train accelerates at a rate of 1.35m/s2 . How long does it take to reach...Problem 53P:
While entering a freeway, a car accelerates from rest at a rate of 2.40m/s2 for 12.0 s. (a) Draw a...Problem 54P:
Unreasonable results At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a...Problem 55P:
Blood is accelerated from rest to 30.0 cm/s in a distance of 1.80 cm left ventricle of the heart....Problem 56P:
During a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in...Problem 57P:
A powerful motocycle can accelerate from rest to 26.8 m/s (100 km/h) in only 3.90 s. (a) What is its...Problem 58P:
Freight trains can product only relatively small accelerations. (a) What is the final velocity of a...Problem 59P:
A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a)...Problem 60P:
A swan on a lake gets airborne by flapping its wings and running on top of the water. (a) If the...Problem 61P:
A woodpecker’s brain is specially protected from large accelerations by tendon-like attachments...Problem 62P:
An unwary football player collides with a padded goalpost while running at a velocity of 7.50 m/s...Problem 63P:
A care package is dropped out of a cargo plane and lands in the forest. If we assume the care...Problem 64P:
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and...Problem 65P:
Unreasonable results Dragsters can actually reach a top speed of 145.0 m/s in only 4.45 s. (a)...Problem 66P:
Calculate the displacement and velocity at times of (a) 0.500 s, (b) 1.00 s, (c) 1.50 s, and (d)...Problem 67P:
Calculate the displacement and velocity at times of (a) 0.500 s, (b) 1.00 s, (c) 1.50 s. (d) 2.00 s,...Problem 68P:
A basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a...Problem 69P:
A rescue helicopter is hovering over a person whose boat has sunk. One of the rescuers throws a life...Problem 70P:
Unreasonable results A dolphin in an aquatic show jumps straight up out of the water at a velocity...Problem 71P:
A diver bounces straight up from a diving board, avoiding the diving board on the way down, and...Problem 72P:
(a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is...Problem 73P:
A very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity...Problem 74P:
You throw a ball straight up with an initial velocity of 15.0 m/s. It passes a tree branch on the...Problem 75P:
A kangaroo can jump over an object 2.50 m high. (a) Considering just its vertical motion, calculate...Problem 76P:
Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a...Problem 77P:
There is a 25O-m-high cliff at Half Dome in Yosemite National Pad in California. Suppose a boulder...Problem 78P:
The acceleration of a particle varies with time according to the equation a(t)=pt2qt3 . Initially,...Problem 79P:
Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 ,...Problem 80P:
The velocity of a particle moving along the x -axis varies with time according to v(t)=A+Bt1 , where...Problem 81P:
A particle at rest leaves the origin with its velocity Increasing with time according to...Problem 82AP:
Professional baseball player Nolan Ryan could pitch a baseball at approximately 160.0 km/h. At that...Problem 83AP:
An airplane leaves Chicago and makes the 3000-km trip Los Angeles in 5.0 h. A second plane leaves...Problem 84AP:
Unreasonable Results A cyclist rides 16.0 km east, then 8.0 km west, then 8.0 km east, then 32.0 km...Problem 85AP:
An object has an acceleration of +1.2cm/s2 . At t=4.0sits velocity is -3.4cm/s . Determine the...Problem 86AP:
A particle moves along the x -axis according to the equation x(t)=2.04.0t2 . What are the velocity...Problem 87AP:
A particle moving at constant acceleration has velocities of 2.0m/s at t=2.0s and -7.6m/s at t=5.2s...Problem 88AP:
A train is mowing up a steep grade at constant velocity (see following figure) when its caboose...Problem 89AP:
An electron is moving in a straight line with a velocity of 4.0105m/s . It enters a region 5.0 cm...Problem 90AP:
An ambulance driver is rushing a patient to the hospital. While traveling at 72 km/h, she notices...Problem 91AP:
A motorcycle that is slowing down uniformly covers 2.0 successive km in 80 s and 120 s,...Problem 92AP:
A cyclist travels from point A to point B in 10 mm. During the first 2.0 mm of her trip, she...Problem 93AP:
Two trains are moving at 30 m/s in opposite directions on the same track. The engineers see...Problem 94AP:
A 10.0-m-long truck moving with a constant velocity of 97.0 km/h passes a 3.0-m-long car moving with...Problem 95AP:
A police car waits in hiding slightly off the highway. A speeding car is spotted by the police car...Problem 96AP:
Pablo is running in a half marathon at a velocity of 3 m/s. Another runner, Jacob, is 50 meters...Problem 97AP:
Unreasonable results A runner approaches the finish line and is 75 m away; her average speed at this...Problem 98AP:
An airplane accelerates at 5.0m/s2 for 30.0 s. During this time, it covers a distance of 10.0 km....Problem 99AP:
Compare the distance traveled of an object that undergoes a change in velocity that Is twice its...Problem 100AP:
An object is moving east with a constant velocity and is at position x0 at time t0=0 . (a) With what...Problem 101AP:
A ball is thro straight up. It passes a 2.00-m-high window 7.50 m off the ground on its path up and...Problem 102AP:
A coin is dropped from a hot-air balloon that is 300 m above the ground and rising at 10.0 m/s...Problem 103AP:
A soft tennis ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of...Problem 104AP:
Unreasonable results. A raindrop falls from a cloud 100 m above the ground. Neglect air resistance....Problem 105AP:
Compare the time in the air of a basketball player who jumps 1.0 m vertically off the floor with...Problem 106AP:
Suppose that a person takes 0.5 s to react and move his hand to catch an object he has dropped. (a)...Problem 107AP:
A hot-air balloon rises from ground level at a constant velocity of 3.0 m/s. One minute after...Problem 108AP:
(a) A world record was se for the men’s 100-m dash in the 2008 Olympic Games in Beijing by Usain...Problem 109AP:
An object is dropped from a height of 75.0 m above ground level. (a) Determine the distance traveled...Problem 110AP:
A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45...Problem 111AP:
An object is dropped from a roof of a building of height h . During the last second of its descent,...Problem 112CP:
In a 100-rn race, the winner is timed at 11.2 s. The second-place finisher’s time Is 11.6 s. How far...Problem 113CP:
The position of a particle moving along the x -axis varies with time according to x(t)=5.0t24.0t3 ....Browse All Chapters of This Textbook
Chapter 1 - Units And MeasurementChapter 2 - VectorsChapter 3 - Motion Along A Straight LineChapter 4 - Motion In Two And Three DimensionsChapter 5 - Newton's Law Of MotionChapter 6 - Applications Of Newton's LawsChapter 7 - Work And Kinetic EnergyChapter 8 - Potential Energy And Conservation Of EnergyChapter 9 - Linear Momentum And CollisionsChapter 10 - Fixed-axis Rotation
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