College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 4CQ
(a) Can the equations in Table 2.4 be used in a situation where the acceleration varies with time? (b) Can they be used when the acceleration is zero?
Table 2.4 Equations for Motion in a Straight Line Under Constant Acceleration
Equation | Information Given by Equation |
v = v0 + at | velocity as a function of time |
Δx = v0t +
|
Displacement as a function of time |
v2 =
|
Velocity as a function if displacement |
Note: Motion is along the x -axis. At t = 0, | the velocity of the particle is v |
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%3D
If we apply the above equations to the case of an object that does not change its
direction of travel as it moves with constant acceleration, we find that the object:
Undergoes a displacement Ax = x- x, . Note that displacement is a positive
quantity if x > x, and a negative quantity if x < x,.
Has average velocity v = (x - x )/t = (v + vo)/2. Note that velocity has the same
sign as displacement.
Travels distance d = |Ax| = |x – x,| . Note that distance is always a positive
quantity.
Has average speed d/t . Note that speed is always a positive quantity.
Has constant acceleration a = (v – vo)/t . Acceleration may be positive or
negative, depending on how velocity changes.
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For the case of an object that does change its direction of travel as it moves with
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Question
Chapter 2 Solutions
College Physics
Ch. 2.1 - Figure 2.4 shows the unusual path of a confused...Ch. 2.1 - True or False? (a) A car must always have an...Ch. 2.1 - Parts (a), (b), and (c) of Figure 2.10 represent...Ch. 2.2 - The three graphs in Figure 2.13 represent the...Ch. 2.2 - Figure 2.14a is a diagram of a multiflash image of...Ch. 2.4 - A tennis player on serve tosses a ball straight...Ch. 2.4 - As the tennis ball of Quick Quiz 2.6 travels...Ch. 2.4 - A skydiver jumps out of a hovering helicopter. A...Ch. 2 - If the velocity of a particle is nonzero, can the...Ch. 2 - If the velocity of a particle is zero, can the...
Ch. 2 - If a car is traveling eastward, can its...Ch. 2 - (a) Can the equations in Table 2.4 be used in a...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Figure CQ2.6 shows strobe photographs taken of a...Ch. 2 - (a) Can the instantaneous velocity of an object at...Ch. 2 - A ball is thrown vertically upward. (a) What are...Ch. 2 - An object moves along the x-axis, its position...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A juggler throws a bowling pin straight up in the...Ch. 2 - A racing car starts from rest and reaches a final...Ch. 2 - The speed of a nerve impulse in the human body is...Ch. 2 - Light travels at a speed of about 3 103 m/s. (a)...Ch. 2 - A person travels by car from one city to another...Ch. 2 - A football player runs from his own goal line to...Ch. 2 - Two boats start together and race across a...Ch. 2 - A graph of position versus time for a certain...Ch. 2 - A motorist drives for 35.0 minutes at 85.0 km/h...Ch. 2 - A tennis player moves in a straight-line path as...Ch. 2 - A jet plane has a takeoff speed of v0 = 75 m/s and...Ch. 2 - Two cars travel in the same direction along a...Ch. 2 - The cheetah can reach a top speed of 114 km/h (71...Ch. 2 - An athlete swims the length L of a pool in a time...Ch. 2 - A person lakes a trip, driving with a constant...Ch. 2 - A tortoise can run with a speed of 0.10 m/s, and a...Ch. 2 - To qualify for the finals in a racing event, a...Ch. 2 - A paper in the journal Current Biology tells of...Ch. 2 - A graph of position versus time for a certain...Ch. 2 - A race car moves such that, its position fits the...Ch. 2 - Runner A is initially 4.0 mi west of a flagpole...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A 50.0-g Super Ball traveling at 25.0 m/s bounces...Ch. 2 - The average person passes out at an acceleration...Ch. 2 - A certain car is capable of accelerating at a rate...Ch. 2 - The velocity vs. time graph for an object moving...Ch. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - PROBLEM A race car starting from rest accelerates...Ch. 2 - An object moving with uniform acceleration has a...Ch. 2 - In 1865 Jules Verne proposed sending men to the...Ch. 2 - A truck covers 40.0 m in 8.50 s while uniformly...Ch. 2 - A speedboat increases its speed uniformly from vi...Ch. 2 - A Cessna aircraft has a liftoff speed of 120....Ch. 2 - An object moves with constant acceleration 4.00...Ch. 2 - In a test run, a certain car accelerates uniformly...Ch. 2 - A jet plane lands with a speed of 100 m/s and can...Ch. 2 - Speedy Sue, driving at 30.0 m/s, enters a one-lane...Ch. 2 - A record of travel along a straight path is as...Ch. 2 - A train is traveling down a straight track at 20...Ch. 2 - A car accelerates uniformly from rest to a speed...Ch. 2 - A car starts from rest and travels for 5.0 s with...Ch. 2 - A car starts from rest and travels for t1 seconds...Ch. 2 - In the Daytona 500 auto race, a Ford Thunderbird...Ch. 2 - The kinematic equations can describe phenomena...Ch. 2 - A hockey player is standing on his skates on a...Ch. 2 - A train 4.00 102 m long is moving on a straight...Ch. 2 - A ball is thrown vertically upward with a speed of...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - A certain freely falling object, released from...Ch. 2 - An attacker at the base of a castle wall 3.65 m...Ch. 2 - Traumatic brain injury such as concussion results...Ch. 2 - A small mailbag is released from a helicopter that...Ch. 2 - A tennis player tosses a tennis ball straight up...Ch. 2 - A package is dropped from a helicopter that is...Ch. 2 - A model rocket is launched straight upward with an...Ch. 2 - A baseball is hit so that it travels straight...Ch. 2 - A truck tractor pulls two trailers, one behind the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A bullet is fired through a board 10.0 cm thick in...Ch. 2 - A speedboat moving at 30.0 m/s approaches a...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - Mature salmon swim upstream, returning to spawn at...Ch. 2 - An insect called the froghopper (Philaenus...Ch. 2 - An object is moving in the positive direction...Ch. 2 - A ball is thrown upward from the ground with an...Ch. 2 - A player holds two baseballs a height h above the...Ch. 2 - A ball thrown straight up into the air is found to...Ch. 2 - The thickest and strongest chamber in the human...Ch. 2 - Emily challenges her husband, David, to catch a 1...Ch. 2 - A mountain climber stands at the top of a 50.0-m...Ch. 2 - One of Aesops fables tells of a rare between a...Ch. 2 - In Bosnia, the ultimate test of a young nuns...Ch. 2 - A stuntman sitting on a tree limb wishes to drop...
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