Contextualization

In physics, the study of the movement of bodies is in a field called Kinematics. Among the topics of kinematics, a very important subject is the Uniformly Varied Movement (MUV). In MUV, the acceleration is constant and not null, that is, the velocity of the body varies uniformly with time at a constant rate.

The concept of MUV is quite broad and serves to understand various phenomena of the real world. In fact, whenever an object starts a movement from rest, or when an object changes its velocity at a constant rate, we can consider that it is a uniformly varied movement.

Graphs are powerful tools that help us visualize and understand the relationship between multiple variables. In this case, MUV's graphs allow us to explore the relationships between acceleration, velocity, and time. Understanding how to interpret these graphs is crucial in physics.

The graphical analysis of MUV is extremely relevant and applicable in various everyday situations. For example, when analyzing the movement of a car that accelerates from rest until it reaches a constant velocity, we are facing a MUV. Similarly, when designing brake systems for vehicles, engineers need to understand MUV to determine the best way to decelerate a moving vehicle.

The following sources are suggested as a basis for discussion and further study of the topic:

1. Solved exercises on the Uniformly Varied Movement - Escola Brasil
2. Uniformly Varied Movement - Khan Academy in Portuguese
3. Book "Fundamentals of Physics" - Halliday & Resnick

Practical Activity

Activity Title: Mini Car Race

Project Objective

The objective of this project is to analyze, through a practical and playful activity, the Uniformly Varied Movement (MUV). Students will have to build mini cars propelled by rubber bands and observe their movement, creating graphs that represent this MUV and, thus, consolidating learning through practice.

Detailed Description of the Project

In this project, groups of 3 to 5 students will build mini cars propelled by rubber bands and analyze their movement, creating graphs that represent the MUV. They will use low-cost and easily found materials. Students will need to record observations, analyze the results and, finally, produce a detailed project report.

Materials Required

• Cardboard or styrofoam board
• Barbecue sticks or straws
• Latex balloons
• Wine corks or toy wheels
• Rubber bands
• Tape
• Tape measure or measuring tape
• Stopwatch (can be the one on your cell phone)

Step by Step

1. Building the mini car: Using cardboard or styrofoam board as a base, students should use barbecue sticks or straws to form the axles of the wheels. The corks or toy wheels are placed at the ends of the axles. The balloon is attached to the straw with a rubber band, forming the mini car's propulsion system.

2. Experiment Plan: The group should prepare a plan for the experiment, including predictions of how the mini car's acceleration, velocity, and displacement will behave during the movement.

3. Experiment Execution: The group should perform the experiment in a flat area. The movement of the car must be recorded. The stopwatch will be used to measure the time, while the tape measure will be used to measure the distances traveled.

4. Data Analysis and Graphing: With the collected data, the group should plot graphs of time x position, time x velocity and time x acceleration. Using these graphs, students should interpret the mini car's movement and check if it is in accordance with their predictions.

Project Deliverables

At the end of the project, students should submit a report containing the following topics:

1. Introduction: Contextualize the theme and justify its relevance, as well as the objective of the project.
2. Development: Explain the theory behind the MUV, describe the activity carried out in detail, explaining the methodology used, the results obtained and a discussion of the results.
3. Conclusion: Indicate what were the learnings obtained, whether the initial predictions were correct, what was the team's experience during the project and the group's conclusions about the project.
4. Bibliography: Include the information sources used.

The graphs used in the analysis should be included in the report, either in the body of the text or as annexes at the end. The tables of data collected during the experiment should also be attached to the report. The report should allow anyone reading it to understand what was done and why it was done, what conclusions were drawn and how these conclusions were obtained.

To assess the participation of each group member, students should include a section in the report detailing what each one did in the completion of the project.

In this month-long activity, students will come into contact with essential physics concepts, building their knowledge through practice and direct observation. In addition, they will develop important skills, such as teamwork, project planning and execution, data collection and analysis, and written communication.