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 5CQ: Does a car’s odometer measure distance traveled or displacement? 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 8CQ: Does the speedometer of a car measure speed or velocity? 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 11CQ: Is it possible for speed to be constant while acceleration is not zero? Problem 12CQ: Is it possible for velocity to be constant while acceleration is not zero? Explain. Problem 13CQ: Give an example in which velocity is zero yet acceleration is not. 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 31P: Sketch the velocity-versus-time graph from the following position-versus-time graph. Problem 32P: Sketch the velocity-versus-time graph from the following position-versus-time graph. Problem 33P: Given the following velocity-versus-time graph, sketch the position-versus-time graph. 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 .... Problem 114CP: A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s... Problem 115CP: In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville... format_list_bulleted
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