Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Question
Chapter 2, Problem 36CQ
To determine
The velocity-time graph for both the runners and the distance travelled.
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In kinematics, the velocity function is all of the following except
A. Function of time
B. Function which gives the instantaneous velocity
C. The derivation
D. None of the above
The figure shows a velocity vs time graph for an object. What is the objects displacement (in m) from time B to time C?
The velocity vs. time graph for an object moving along a straight path is shown in the figure below.
A function is plotted on a coordinate plane, with the horizontal axis labeled t (s) ranging from 0 to 21 s and the vertical axis labeled v (m/s) ranging from −9 m/s to 9 m/s. The function enters the viewing window at (0, −8) and goes horizontally rightward to the approximate point (5, −8). Then the function curves upward and extends up and right in a straight line to the approximate point (15, 8). The function then curves rightward and goes horizontally rightward to the point (20, 8), where the function ends.
(i) Find the average acceleration of this object during the following time intervals.
(a) 0 s to 5.0 s m/s2(b) 5.0 s to 15 s m/s2(c) 0 s to 20 s m/s2
(ii) Find the instantaneous accelerations at the following times.
(a) 2.0 s m/s2(b) 10 s m/s2(c) 18 s m/s2
Chapter 2 Solutions
Physics of Everyday Phenomena
Ch. 2 - Prob. 1CQCh. 2 - Suppose we choose inches as our basic unit of...Ch. 2 - What units would have an appropriate size for...Ch. 2 - A tortoise and a hare cover the same distance in a...Ch. 2 - A driver states that she was doing 80 when stopped...Ch. 2 - Does the speedometer on a car measure average...Ch. 2 - Is the average speed over several minutes more...Ch. 2 - The highway patrol sometimes uses radar guns to...Ch. 2 - Is the term vehicle density (as used in everyday...Ch. 2 - Prob. 10CQ
Ch. 2 - At the front end of a traffic jam, is the vehicle...Ch. 2 - A hockey puck is sliding on frictionless ice. It...Ch. 2 - A ball attached to a string is whirled in a...Ch. 2 - Prob. 14CQCh. 2 - A dropped ball gains speed as it falls. Can the...Ch. 2 - A driver of a car steps on the brakes, causing the...Ch. 2 - At a given instant in time, two cars are traveling...Ch. 2 - A car just starting up from a stop sign has zero...Ch. 2 - A car traveling with constant speed rounds a curve...Ch. 2 - A racing sports car traveling with a constant...Ch. 2 - In the graph shown here, velocity is plotted as a...Ch. 2 - A car moves along a straight line so that its...Ch. 2 - For the car whose distance is plotted against time...Ch. 2 - A car moves along a straight section of road so...Ch. 2 - For the car whose velocity is plotted in question...Ch. 2 - Look again at the velocity-versus-time graph for...Ch. 2 - Suppose the acceleration of a car increases with...Ch. 2 - When a car accelerates uniformly from rest, which...Ch. 2 - The velocity-versus-time graph of an object curves...Ch. 2 - For a uniformly accelerated car, is the average...Ch. 2 - A car traveling in the forward direction...Ch. 2 - A car starts from rest, accelerates uniformly for...Ch. 2 - Suppose that two runners run a 100-meter dash, but...Ch. 2 - Sketch a graph showing velocity-versus-time curves...Ch. 2 - A physics instructor walks with increasing speed...Ch. 2 - Prob. 36CQCh. 2 - Return to example box 2.4, but this time assume...Ch. 2 - A traveler covers a distance of 413 miles in a...Ch. 2 - A walker covers a distance of 2.4 km in a time of...Ch. 2 - Grass clippings are found to have an average...Ch. 2 - A driver drives for 2.5 hours at an average speed...Ch. 2 - A woman walks a distance of 504 m, with an average...Ch. 2 - A person in a hurry averages 70 MPH on a trip...Ch. 2 - A hiker walks with an average speed of 1.3 m/s....Ch. 2 - Prob. 8ECh. 2 - A car travels with an average speed of 65 MPH....Ch. 2 - Starting from rest and moving in a straight line,...Ch. 2 - Starting from rest, a car accelerates at a rate of...Ch. 2 - The velocity of a car decreases from 28 m/s to 20...Ch. 2 - A car traveling with an initial velocity of 16 m/s...Ch. 2 - A runner traveling with an initial velocity of 1.1...Ch. 2 - A car moving with an initial velocity of 32 m/s...Ch. 2 - A runner moving with an initial velocity of 4.0...Ch. 2 - If a world-class sprinter ran a distance of 100...Ch. 2 - Starting from rest, a car accelerates at a...Ch. 2 - A railroad engine moves forward along a straight...Ch. 2 - The velocity of a car increases with time, as...Ch. 2 - A car traveling due west on a straight road...Ch. 2 - A car traveling in a straight line with an initial...Ch. 2 - Just as car A is starting up, it is passed by car...
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- A student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.12. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity-versus-time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.12arrow_forwardBacteria move back and forth using their flagella (structures that look like little tails). Speeds of up to 50m/s(50106m/s) have been observed. The total distance traveled by a bacterium is large for its size, whereas its displacement is small. Why is this?arrow_forwardSketch the velocity-versus-time graph from the following position-versus-time graph.arrow_forward
- The velocity vs. time graph for an object moving along a straight path is shown in the figure below. A function is plotted on a coordinate plane, with the horizontal axis labeled t (s) ranging from 0 to 21 s and the vertical axis labeled v (m/s) ranging from −9 m/s to 9 m/s. The function enters the viewing window at (0, −8) and goes horizontally rightward to the approximate point (5, −8). Then the function curves upward and extends up and right in a straight line to the approximate point (15, 8). The function then curves rightward and goes horizontally rightward to the point (20, 8), where the function ends. (i) Find the average acceleration of this object during the following time intervals. (a) 0 s to 5.0 sYour response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.m/s2(b) 5.0 s to 15 sm/s2(c) 0 s to 20 sYour response differs from the correct answer by more than 10%. Double check your calculations.m/s2…arrow_forwardBased on a grade 11 physics student, answer the following question: The position-time graph below represents the motion of two speed skaters, Bill and Ted on their Excellent Adventure as they time travel back to the 1952 winter Olympics in Oslo. a) What was Ted’s velocity at 20s? b) What was Bill’s velocity during the middle portion of the race? c) What was Ted’s average velocity throughout the race? d) What was Ted’s acceleration through the race? (assume constant) e) Make a velocity-time graph of Bill & Ted’s Speed Skating race.arrow_forwardA car and a truck are heading directly toward one another on a straight and narrow street, but they avoid a head-on collision by simultaneously applying their brakes at t = 0. The resulting velocity-versus-time graphs are shown in the figure below. What is the separation between the car and the truck when they have come to rest, given that at t = 0 the car is at x = 15 m and the truck is at x = -35 m? (Note that this information determines which line in the graph corresponds to which vehicle.)arrow_forward
- I am doing a free-fall experiment for Physics and I need to make a velocity vs. time graph using the average value of the final velocity. Do you know how I would be able to find the values for the velocity vs. time graph? The average value of the final velocity is 6.21954 m/s. It is question #9.arrow_forwardThe figure shows a distance vs. time graph of an object with three distinct regions I, II, and III. The object’s velocity is positive in region(s) (picture) is the answer: I no region III IIarrow_forwardPLEASE ANSWER LETTERS D AND E ONLYA stone is thrown vertically upward with a velocity of 96 ft/s from the top of a tower 112 ft high.a) Find the stone’s height and velocity at time tb) At what time will the stone reach its maximum height?c) What is the maximum height attained by the stone above the ground?d) When does the stone hit the ground?e) What is the velocity of the stone when it strikes the ground?arrow_forward
- A student drives a moped along a straight road as described by the velocity–time graph in Figure P2.58. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity–time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the moped’s final position at t = 9.00 s?arrow_forwardA train starting from rest travels the 1st part of its journey with a constant acceleration , the 2nd part of its journey with a constant speed , and the 3rd part of journey with a constant deceleration . If the average speed of the whole journey is, 7/8v A. Draw a velocity-time graph to describe the motion b.Show that the train travels at a constant speed for 75% of the time. c.Find also what fraction of the whole distance is described with constant speed.arrow_forwardThis is the graph of Velocity(x) vs Time(y) Explain why the results of the two slopes have different results or why are they not the same?arrow_forward
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