College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Textbook Question
Chapter 2, Problem 30P
A speedboat increases its speed uniformly from vi = 20.0 m/s to Vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors, (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf, vi, and Δx. (d) Substitute given values, obtaining that acceleration, (e) Find the time it takes the boat to travel the given distance.
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A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a distance of 2.00 × 102 m. (a) Draw a coordinate system for this situation and label the relevant quantities, including vectors. (b) For the given information, what single equation is most appropriate for finding the acceleration? (c) Solve the equation selected in part (b) symbolically for the boat’s acceleration in terms of vf , vi, and Δx. (d) Substitute given values, obtaining that acceleration. (e) Find the time it takes the boat to travel the given distance.
The vector position of a particle varies in time according to the expression = 3.80 î − 8.80t2 ĵ where is in meters and t is in seconds.
a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
=
m/s
(b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
=
m/s2
(c) Calculate the particle's position and velocity at t = 5.00 s.
An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2
at 200.0°. Assume that all angles are measured with respect to the positive x-axis.
(a) Write the initial velocity vector and the acceleration vector in unit vector notation.
(b) If the object maintains this acceleration for 12.0 seconds, determine the average
velocity vector over the time interval. Express your answer in your unit vector
notation.
Chapter 2 Solutions
College Physics:
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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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