COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 2, Problem 63PE
To determine
The displacement graph for the subway shuttle train.
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A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway, what is the magnitude of the acceleration needed to stop within the runway?
Write your answer in terms of m/s2.
You travel 1000 m in 25 seconds, accelerating the whole time at a constant rate. What is the rate of acceleration? Initial velocity (vi) = 0 m/s.
Hint: Look at the kinematic equations!
Given the equation of the displacement x of a certain object at any time t x = 2t + 3t² + 10, in meter
a. What is the velocity of the object at time t = 5 seconds?
b. What is the acceleration of the object at time t = 10 seconds?
Note: Velocity is the first derivative of displacement. Acceleration is the second derivative of displacement.
Chapter 2 Solutions
COLLEGE PHYSICS
Ch. 2 - Give an example in which there are clear...Ch. 2 - Under what circumstances does distance traveled...Ch. 2 - Bacteria move back and f01th by using their...Ch. 2 - A student writes, "A bird that is diving for prey...Ch. 2 - What is the speed of the bird in Exercise 2.4?Ch. 2 - Acceleration is the change in velocity over time....Ch. 2 - A weather forecast states that the temperature is...Ch. 2 - Give an example (but not one from the text) of a...Ch. 2 - There is a distinction between average speed and...Ch. 2 - Does a car's odometer measure position or...
Ch. 2 - If you divide the total distance traveled on a car...Ch. 2 - How are instantaneous velocity and instantaneous...Ch. 2 - Is it possible for speed to be constant while...Ch. 2 - Is it possible for velocity to be constant while...Ch. 2 - Give an example in which velocity is zero yet...Ch. 2 - If a subway train is moving to the left (has a...Ch. 2 - Plus and minus signs are used in one-dimensional...Ch. 2 - What information do you need in order to choose...Ch. 2 - What is the last thing you should do when solving...Ch. 2 - What is the acceleration of a rock thrown straight...Ch. 2 - An object that is thrown straight up falls back to...Ch. 2 - Prob. 22CQCh. 2 - If an object is thrown straight up and air...Ch. 2 - The severity of a fall depends on your speed when...Ch. 2 - How many times higher could an astronaut jump on...Ch. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - A cylinder is given a push and then rolls up an...Ch. 2 - Prob. 1PECh. 2 - Prob. 2PECh. 2 - Prob. 3PECh. 2 - Prob. 4PECh. 2 - (a) Calculate Earth's average speed relative to...Ch. 2 - A helicopter blade spins at exactly 100...Ch. 2 - The North American and European continents are...Ch. 2 - Land west of the San Andreas fault in southern...Ch. 2 - On May 26, 1934, a streamlined, stainless steel...Ch. 2 - Tidal friction is slowing the rotation of the...Ch. 2 - A student drove to the university from her home...Ch. 2 - The speed of propagation of the action potential...Ch. 2 - Conversations with astronauts on the lunar surface...Ch. 2 - A football quarterback runs 15.0 m straight down...Ch. 2 - The planetary model of the atom pictures electrons...Ch. 2 - A cheetah can accelerate from rest to a speed of...Ch. 2 - Professional Application Dr. John Paul Stapp was...Ch. 2 - A commuter backs her car out of her garage with an...Ch. 2 - Assume that an intercontinental ballistic missile...Ch. 2 - An Olympic-class sprinter starts a race with an...Ch. 2 - A well-thrown ball is caught in a well-padded...Ch. 2 - A bullet in a gun is accelerated from the firing...Ch. 2 - (a) A light-rail commuter train accelerates at a...Ch. 2 - While entering a freeway, a car accelerates from...Ch. 2 - At the end of a race, a runner decelerates from a...Ch. 2 - Professional Application: Blood is accelerated...Ch. 2 - In a slap shot, a hockey player accelerates the...Ch. 2 - A powerful motorcycle can accelerate from rest to...Ch. 2 - Freight trains can produce only relatively small...Ch. 2 - A fireworks shell is accelerated from rest to a...Ch. 2 - A swan on a lake gets airborne by flapping its...Ch. 2 - Professional Application: A woodpecker's brain is...Ch. 2 - An unwary football player collides with a padded...Ch. 2 - In World War II, there were several reported cases...Ch. 2 - Consider a grey squirrel falling out of a tree to...Ch. 2 - An express train passes through a station. It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - Prob. 54PECh. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - Prob. 59PECh. 2 - Prob. 60PECh. 2 - Prob. 61PECh. 2 - Prob. 62PECh. 2 - Prob. 63PECh. 2 - Prob. 64PECh. 2 - Prob. 65PECh. 2 - Prob. 66PECh. 2 - Prob. 1TPCh. 2 - Prob. 2TPCh. 2 - Prob. 3TPCh. 2 - Prob. 4TPCh. 2 - Prob. 5TPCh. 2 - Prob. 6TPCh. 2 - Prob. 7TP
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- When jumping, a flea accelerates at an astounding 1,000 m/s2 , but over only the very short distance of 0.5 mm. If a flea jumps straight up, and if air resistance is neglected (a rather poor approximation in this situation), how high does the flea go (write your answer in centimeters)? Acceleration due to gravity g= 9.8 m/s2.arrow_forwardWhen given a velocity vs. time graph, draw the corresponding position vs. time and acceleration vs. time graphs. Graphs should include labels (including numerical values and correct units) for both the horizontal and vertical axes. The values don't have to be exactly right, but they should be relatively close. If possible, find the slope and apply it to a real life situation.arrow_forwardIn Lab #3, you used a kinematic equation to find the displacement of the falling tennis ball given the time it had fallen. Neglecting air resistance, if a coin is dropped from the top of a building and takes 4.6 seconds to hit the ground, what is the height of the building (in meters)?arrow_forward
- 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/s²arrow_forwardA car moves along a straight road. It moves at a speed of 50 km/hr for 4 minutes, then during the next 4 minutes it gradually speeds up to 100 km/hr, continues at this speed for 4 minutes, then takes 4 minutes to gradually slow to a complete stop. Make a sketch like the figures in Section 1.2 of your textbook, marking dots for the position along the road every minute.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 displacement of a particle is given by s = 4t³ - 60t² + 100t -58 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 1.8 S= i fty = i ft/seca = i ft/ser sec, At t = 6.6 i S= fty = i ft/seca = i ft/se sec, Att = 9.8 sec, i fty = ft/seca = S = i ft/ser The velocity is zero when t = i sec and when t = secarrow_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_forwardConcept Simulation 2.3 offers a useful review of the concepts central to this problem. An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +12.9 m/s and measures a time of 24.8 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? (positive = up, negative = down) Number -48.2 Units m/s^2arrow_forward
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY