About
Topics
KinematicsSpeed, velocity and acceleration
Graphical analysis of motion
Free-fall
Effect of air resistance
Description
This simulation has a drop-down menu for exploration of(ii) moving with uniform velocity, use of progressive mathematical model is encouraged
(iii) moving with non-uniform velocity (eg, constant acceleration) use of progressive mathematical model is encouraged
When only the velocity-time graph check-box is selected, it can be explored for the following cases too.
(ii) moving with uniform velocity (eg, no acceleration) model of the form Y = Y0+u*t
(iii) moving with uniform acceleration (eg, constant acceleration = 9.81 m/s^2) model of the form Y = Y0+u*t+0.5*g*t
(iv) moving with non-uniform acceleration (eg, with small ot large drag force acting thus acceleration changes).
The default acceleration is set at-9.81 m/s^2 which is near to the Earth is constant and is approximately 10 m/s 2.
Lastly, by selecting the 3 options of
"free fall"
"free_fall_with_small_air_resistance"
"free_fall_with_large_air_resistance"
It can provide the experience and evidences for describing the motion of bodies with constant weight falling with (large and small) or without air resistance, including reference to terminal velocity, a constant velocity as a result of balanced forces of weight of mass and the drag force giving rise to zero acceleration.
Sample Learning Goals
(f) deduce from the shape of a displacement-time graph when a body is:
(ii) moving with uniform velocity
(iii) moving with non-uniform velocity
(g) deduce from the shape of a velocity-time graph when a body is:
(ii) moving with uniform velocity
(iii) moving with uniform acceleration
(iv) moving with non-uniform acceleration
(i) state that the acceleration of free fall for a body near to the Earth is constant and is approximately 10 m/s 2
(j) describe the motion of bodies with constant weight falling with or without air resistance, including reference to terminal velocity
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Translations
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Credits
weelookang@gmail.com; Francisco Esquembre; Flix J. Garca
Overview:
This document provides a briefing on the "Kinematics Car and Bus Y Direction Simulator" JavaScript simulation applet, hosted by Open Educational Resources / Open Source Physics @ Singapore. This interactive tool is designed for educational purposes, allowing users to explore and visualize concepts related to kinematics, specifically motion in the Y (vertical) direction. The simulation covers topics such as uniform and non-uniform velocity, constant acceleration (including free fall and the effect of air resistance), and the graphical analysis of motion.
Main Themes and Important Ideas/Facts:
- Interactive Exploration of Kinematics: The core function of the applet is to provide an interactive environment for students to learn about kinematics. The "Description" states that the simulation allows for the exploration of motion in several scenarios:
- "(i) at rest"
- "(ii) moving with uniform velocity"
- "(iii) moving with non-uniform velocity (eg, constant acceleration)"
- "(iv) moving with non-uniform acceleration (eg, with small ot large drag force acting thus acceleration changes)."
- Graphical Analysis of Motion: A key feature of the simulator is its ability to display and analyze motion graphically. The "Instructions" section highlights the "Graph Combo Box" which can display:
- "(Displacement vs Time Graph)"
- "(Velocity Vs Time Graph)"
- "(Acceleration Vs Time Graph)" The "Sample Learning Goals" explicitly mention the importance of this aspect, stating that students should be able to "(e) plot and interpret a displacement-time graph and a velocity-time graph." Furthermore, it aims to enable students to "(f) deduce from the shape of a displacement-time graph when a body is: (i) at rest (ii) moving with uniform velocity (iii) moving with non-uniform velocity" and "(g) deduce from the shape of a velocity-time graph when a body is: (i) at rest (ii) moving with uniform velocity (iii) moving with uniform acceleration (iv) moving with non-uniform acceleration."
- Modeling Different Types of Motion: The simulation employs mathematical models to represent various types of motion. The "Description" encourages the "use of progressive mathematical model" for each scenario. Specific models mentioned include:
- At rest: "Y = 0 for example"
- Uniform velocity: "model of the form Y = Y0+u*t"
- Uniform acceleration: "model of the form Y = Y0+ut+0.5g*t"
- Free Fall and Air Resistance: The applet specifically addresses free fall, including the effects of air resistance. By selecting the options for "free fall", "free_fall_with_small_air_resistance", and "free_fall_with_large_air_resistance", users can observe and understand how air resistance influences the motion of falling bodies. The "Description" notes that this feature can "provide the experience and evidences for describing the motion of bodies with constant weight falling with (large and small) or without air resistance, including reference to terminal velocity." The "Sample Learning Goals" also include "(j) describe the motion of bodies with constant weight falling with or without air resistance, including reference to terminal velocity."
- Constant Acceleration due to Gravity: The simulation reinforces the understanding of gravitational acceleration near the Earth's surface. The "Description" states, "The default acceleration is set at-9.81 m/s^2 which is ne ar to the Earth is constant and is approximately 10 m/s 2." This is echoed in the "Sample Learning Goals": "(i) state that the acceleration of free fall for a body near to the Earth is constant and is approximately 10 m/s 2."
- User Interface and Controls: The applet features a user-friendly interface with several control elements, as described in the "Instructions":
- Graph Combo Box: For toggling the display of different graphs.
- Control Panel Sliders: For adjusting simulation parameters (though specific parameters are not detailed in this excerpt).
- Play/Pause, Step and Reset Buttons: For controlling the simulation's execution.
- Toggling Full Screen: For adjusting the viewing area.
- Open Educational Resource: The platform emphasizes its nature as an "Open Educational Resources / Open Source Physics" project. The content is licensed under a "Creative Commons Attribution-Share Alike 4.0 Singapore License," promoting sharing and adaptation for educational purposes. Commercial use of the underlying "EasyJavaScriptSimulations Library" requires a separate license.
- Embeddable Model: The applet can be easily embedded into webpages using an <iframe> tag, facilitating its integration into online learning environments. The provided embed code is:
- <iframe width="100%" height="100%" src="https://iwant2study.org/lookangejss/02_newtonianmechanics_2kinematics/ejss_model_kinematics2car/kinematics2car_Simulation.xhtml " frameborder="0"></iframe>
- Part of a Larger Collection: The simulation is listed amongst a vast array of other physics and mathematics simulations and interactive tools available on the platform, indicating a comprehensive resource for educators and learners.
Target Audience:
Based on the topics covered and the "Sample Learning Goals," the target audience for this simulation likely includes secondary school and introductory college physics students learning about kinematics, particularly concepts related to displacement, velocity, acceleration, and free fall. The inclusion of graphical analysis and the effects of air resistance suggests a focus on developing a deeper conceptual understanding of these topics.
Potential Educational Applications:
This simulation can be used in various educational settings, including:
- Classroom demonstrations: Teachers can use the interactive visualization to explain kinematic concepts.
- Student activities: Students can explore different scenarios and analyze the resulting graphs to reinforce their learning.
- Homework assignments: Students can use the simulation to investigate specific problems and develop their understanding.
- Self-study: Learners can independently explore kinematic principles and test their understanding.
Conclusion:
The "Kinematics Car and Bus Y Direction Simulator" JavaScript simulation applet is a valuable open educational resource for teaching and learning kinematics. Its interactive nature, focus on graphical analysis, and inclusion of real-world scenarios like free fall with air resistance make it a powerful tool for engaging students and fostering a deeper understanding of motion in one dimension. The embeddability of the applet further enhances its utility for online educational platforms.
Kinematics and Free Fall Study Guide
Quiz
- What is kinematics? Briefly describe its focus in the context of the provided resource.
- According to the resource, what are three topics within kinematics that are explored using the simulator?
- Explain the difference between uniform velocity and non-uniform velocity, as suggested by the simulator's descriptions.
- What mathematical model is suggested for an object moving with uniform acceleration in the Y direction? Identify each variable in the model.
- What is the approximate value for the acceleration of free fall near the Earth, as stated in the resource? What symbol is commonly used for this value?
- Describe what happens to the velocity of an object falling with air resistance as it reaches terminal velocity. Explain why this occurs.
- What can be deduced about the motion of a body from the shape of a displacement-time graph if it is a straight horizontal line? What if it is a straight line with a non-zero slope?
- What can be deduced about the motion of a body from the shape of a velocity-time graph if it is a straight horizontal line above the time axis? What if it is a straight line with a non-zero positive slope?
- What three options related to free fall are available in the simulator for exploration? What is the key difference between these options?
- How can the "Graph Combo Box" in the simulation be used to analyze the motion of the car or bus? List the three types of graphs it can display.
Answer Key
- Kinematics is the branch of mechanics concerned with the motion of objects without reference to the forces that cause the motion. The resource focuses on kinematics in the Y direction, exploring concepts like speed, velocity, acceleration, graphical analysis of motion, and free fall using a JavaScript simulation.
- Three topics within kinematics explored using the simulator are speed, velocity and acceleration; graphical analysis of motion; and free-fall (including the effect of air resistance).
- Uniform velocity means the object is moving at a constant speed in a constant direction (no acceleration). Non-uniform velocity means the object's speed or direction (or both) is changing over time, indicating acceleration is present.
- The mathematical model for uniform acceleration is Y = Y0 + ut + 0.5g*t^2, where Y is the displacement at time t, Y0 is the initial displacement, u is the initial velocity, g is the constant acceleration, and t is the time.
- The acceleration of free fall near the Earth is stated as approximately 10 m/s^2. The symbol commonly used for this acceleration due to gravity is 'g'.
- As an object falling with air resistance reaches terminal velocity, its velocity becomes constant. This occurs because the upward drag force due to air resistance becomes equal in magnitude to the downward force of gravity (weight), resulting in a net force of zero and therefore zero acceleration.
- A straight horizontal line on a displacement-time graph indicates that the body is at rest (not changing its displacement). A straight line with a non-zero slope indicates that the body is moving with uniform velocity (constant rate of change of displacement).
- A straight horizontal line above the time axis on a velocity-time graph indicates that the body is moving with uniform velocity (constant non-zero velocity, thus zero acceleration). A straight line with a non-zero positive slope indicates that the body is moving with uniform acceleration (constant rate of change of velocity).
- The three options are "free fall," "free_fall_with_small_air_resistance," and "free_fall_with_large_air_resistance." The key difference lies in the magnitude of the air resistance force acting on the falling body, ranging from no air resistance to a significant amount.
- The "Graph Combo Box" can be used to visualize and analyze the motion by displaying (Displacement vs Time Graph), (Velocity Vs Time Graph), and (Acceleration Vs Time Graph). These graphs allow for the interpretation of different types of motion based on their shapes.
Essay Format Questions
- Discuss how the Kinematics Car and Bus Y Direction Simulator can be used as a tool to visually and conceptually differentiate between displacement, velocity, and acceleration. Provide specific examples of scenarios within the simulation that could highlight these differences.
- Analyze the motion of an object in free fall with and without air resistance. Explain the role of air resistance in affecting the acceleration and leading to the concept of terminal velocity. How does the simulator help in understanding these concepts?
- Explain how displacement-time and velocity-time graphs can be used to determine if an object is at rest, moving with uniform velocity, or moving with non-uniform velocity or acceleration. Describe the key features of each type of graph that correspond to these different states of motion.
- The resource emphasizes the use of progressive mathematical models for different types of motion. Discuss the relationship between the descriptions of motion (at rest, uniform velocity, uniform acceleration) and their corresponding mathematical representations (e.g., Y = 0, Y = Y0 + ut, Y = Y0 + ut + 0.5gt^2). How does the simulator encourage the understanding of these models?
- Consider the sample learning goals provided in the resource. Choose two learning goals related to interpreting graphs and describe how a teacher could use the Kinematics Car and Bus Y Direction Simulator to help students achieve these goals effectively.
Glossary of Key Terms
- Kinematics: The branch of mechanics concerned with the motion of objects without reference to the forces that cause the motion. It focuses on describing motion using quantities like displacement, velocity, and acceleration.
- Displacement: The change in position of an object from its initial position. It is a vector quantity, having both magnitude and direction.
- Velocity: The rate of change of displacement with respect to time. It is also a vector quantity, indicating both the speed and direction of motion.
- Uniform Velocity: Motion where an object travels at a constant speed in a constant direction. This implies zero acceleration.
- Non-uniform Velocity: Motion where the speed or direction (or both) of an object is changing over time. This indicates the presence of acceleration.
- Acceleration: The rate of change of velocity with respect to time. It is a vector quantity.
- Uniform Acceleration: Motion where the velocity of an object changes at a constant rate.
- Non-uniform Acceleration: Motion where the rate of change of velocity is not constant.
- Free Fall: The motion of an object under the influence of gravity alone, neglecting air resistance.
- Air Resistance: A force that opposes the motion of an object through the air. Its magnitude depends on factors like the object's speed, shape, and the density of the air.
- Terminal Velocity: The constant velocity reached by a freely falling object when the drag force due to air resistance equals the gravitational force. At this point, the net force and acceleration become zero.
- Displacement-Time Graph: A graph that plots the displacement of an object on the vertical axis against time on the horizontal axis. The slope of the graph represents the velocity.
- Velocity-Time Graph: A graph that plots the velocity of an object on the vertical axis against time on the horizontal axis. The slope of the graph represents the acceleration, and the area under the graph represents the displacement.
Sample Learning Goals
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For Teachers
Kinematics Car and Bus Y Direction Simulator JavaScript Simulation Applet HTML5
Instructions
Graph Combo Box
Control Panel Sliders
Toggling Full Screen
Play/Pause, Step and Reset Buttons
Research
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Video
[text]
Version:
Other Resources
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Frequently Asked Questions: Kinematics Car and Bus Y Direction Simulator
1. What is the purpose of the Kinematics Car and Bus Y Direction Simulator?
The simulator is a JavaScript-based applet designed as an open educational resource to help users explore and understand the principles of kinematics, specifically motion in one dimension (the Y direction). It allows for the visualization and analysis of different types of motion, including at rest, uniform velocity, uniform acceleration, and non-uniform acceleration.
2. What kinematic concepts can be explored using this simulator?
The simulator covers several key kinematic concepts, including speed, velocity, acceleration, graphical analysis of motion (displacement-time, velocity-time, and acceleration-time graphs), free-fall, and the effect of air resistance on falling objects.
3. How can the simulator help in understanding different types of motion?
The simulator provides a drop-down menu to select various scenarios: being at rest, moving with uniform velocity, or moving with non-uniform velocity (like constant acceleration). It also allows focusing on velocity-time graphs for cases including rest, uniform velocity, uniform acceleration, and non-uniform acceleration. Users can observe how these different types of motion are represented mathematically and graphically.
4. What is the significance of the "free fall" options in the simulator?
The "free fall," "free_fall_with_small_air_resistance," and "free_fall_with_large_air_resistance" options allow users to investigate the motion of objects under gravity, with and without the influence of air resistance. This helps in understanding concepts like constant acceleration due to gravity and the effect of drag force leading to terminal velocity.
5. How can displacement-time and velocity-time graphs be used in this simulator?
By selecting the checkboxes for displacement-time and velocity-time graphs, users can simultaneously visualize how the position and velocity of an object change over time for different types of motion. Analyzing the shape of these graphs allows users to deduce whether a body is at rest, moving with uniform velocity, or moving with non-uniform velocity or acceleration.
6. What can be learned about acceleration due to gravity using this simulation?
The simulator sets the default acceleration at -9.81 m/s², which is approximately 10 m/s² near the Earth's surface. By observing the motion under the "free fall" conditions, users can see that the acceleration of a body in free fall (without air resistance) is constant near the Earth.
7. How does the simulator illustrate the concept of terminal velocity?
By using the "free_fall_with_small_air_resistance" and "free_fall_with_large_air_resistance" options, users can observe that as an object falls and air resistance increases with speed, the net force (weight minus drag force) decreases. Eventually, the drag force equals the weight, resulting in zero net force and zero acceleration. This constant velocity reached is known as terminal velocity.
8. What are the interactive features available in the simulator for users?
The simulator includes a graph combo box to toggle the display of displacement-time, velocity-time, and acceleration-time graphs. Control panel sliders allow users to adjust various parameters (though not explicitly detailed in the provided text, they likely control initial conditions or forces). There are also play/pause, step, and reset buttons to control the simulation's progression. Users can also toggle fullscreen view by double-clicking.
- Details
- Written by Fremont
- Parent Category: 03 Motion & Forces
- Category: 01 Kinematics
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