Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 15.2, Problem 1aTH
In each of the following exercises, a motion will be described in terms of position, velocity, or acceleration. In each case:
- Translate the description of the motion into simpler words that describe how you would have to move to produce this motion. If it is not possible to reproduce this motion, explain why not.
- Sketch x versus t, v versus t, and a versus t graphs for the motion.
- Draw a picture of a track and a ball such that the ball will move with the corresponding motion. Indicate on your diagram:
- the initial location and initial direction of motion of the ball,
- the location of
- the positive direction.
The first exercise has been worked as an example.
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B. EXERCISES: (Use separate piece of paper for your answer sheet)
Directions: You are given the position-time graph of the motion of a race cart along a linear track.
Use the given graph below to answer the questions. (NOTE: No need to copy the
questions but you have to answer each number in one complete sentence.)
1. Which part(s) of the graph shows that the object is moving at constant positive acceleration?
2. What is the acceleration of the cart between t = 10 s and t= 15 s?
3. How fast was it moving between 40 and 55 seconds?
4. At which time interval shows that the object is moving at constant negative velocity?
Velocity (m/s)
t bas emi oltn
80
emi-
40
Time
(s)
20-22
20
ind viup
-40
50
30
40
10
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.
Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.
Graph your equation with time on the horizontal axis and height on the vertical axis. Let the values for time range from 0 to 10 seconds and the values for the height range from 0 to 200 feet. Include your graph in this response.
Refer to your graph in Question 2. Explain what the vertex, x-intercept, and y-intercept represent in…
A physics student records the data in the table below during a 1-D motion experiment with constant
acceleration. Unfortunately he forgets to properly label the table before emailing it to his lab
partners for analysis. As a result, they have to use their knowledge of kinematics to figure out how
the table is organized and what the rows and columns represent. Use your knowledge of kinematics
to select the correct answer below. Assume that all units are SI (meters, seconds, meters/second,
etc) even though they are not shown.
7.000 0.00
3.0
7.031 0.01 3.1
7.062 0.02 3.2
7.095 0.03 3.3
7.128 0.04
3.4
The initial position is 7.0 meters
The initial speed is 0.0 meters/second
The initial time is 3.0 seconds
The acceleration is 10 meters/second^2
Chapter 15 Solutions
Tutorials in Introductory Physics
Ch. 15.1 - Describe the motion. During which periods of time,...Ch. 15.1 - Find the object’s instantaneous velocity at each...Ch. 15.1 - For each of the following intervals, find the...Ch. 15.1 - In which of the cased from part c, if any, is the...Ch. 15.1 - In the interval from t=0s to t=6s , does the...Ch. 15.1 - In the small box on the graph above is a portion...Ch. 15.1 - Next, we expand the section of the previous graph...Ch. 15.1 - All three graphs are representations of the same...Ch. 15.1 - Suppose that the object is speeding up. Which of...Ch. 15.1 - Suppose that the object is slowing down. Which of...
Ch. 15.1 - Describe how you could use these devices to...Ch. 15.1 - Describe how you could use these devices to...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.3 - A ball rolls up, then down an incline. Sketch an...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Describe the motion of an object: For which the...Ch. 15.3 - Describe the motion of an object: b. For which the...Ch. 15.3 - Describe the motion of an object: c. For which the...Ch. 15.3 - Describe the motion of an object: d. For which the...Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Two cars, C and D, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.4 - Prob. 1aTHCh. 15.4 - Prob. 1bTHCh. 15.4 - Describe how you would determine the acceleration...Ch. 15.4 - Copy vG and vH (placed “tailtotail”) in the space...Ch. 15.4 - Generalize your results above and from tutorial to...Ch. 15.4 - For each instant, state whether the object is...Ch. 15.4 - The diagram at right illustrates how the...Ch. 15.4 - For each of the instants 14, compare your...Ch. 15.4 - Choose a point about 1/8th of the way around the...Ch. 15.4 - Prob. 3bTHCh. 15.4 - How would you characterize the direction of v as...Ch. 15.4 - Each of the following statements in incorrect....Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - Draw arrows on the diagram at points AG to...Ch. 15.4 - Next to each of the labeled points, state whether...Ch. 15.4 - Draw arrows on the diagram below to show the...Ch. 15.4 - On the diagram at right, draw velocity vectors for...Ch. 15.4 - On the diagram at right, draw the acceleration...Ch. 15.4 - How does the magnitude of the acceleration at E...Ch. 15.5 - Reference frame of boat B: Complete the upper...Ch. 15.5 - Reference frame of boat A: Complete the diagram at...Ch. 15.5 - Is the speed of the kayak in the frame of boat A...Ch. 15.5 - Rank the following quantities in order of...Ch. 15.5 - A third riverboat, boat C, moves downstream so as...Ch. 15.5 - Prob. 2aTHCh. 15.5 - A car, a truck, and a traffic cone are on a...Ch. 15.5 - The relationship vcar,cone=vcar,truck+vtruck,cone...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...
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