Texas Instruments CBR 2 manual Answer question

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Activity 5—Rolling Ball (cont.)

Parabolic

 

 

g.Select Next (press q) to display a summary of the new settings.

h.Select OK (press s) to return to the main screen.

ÍWhen the settings are correct, choose Start (press q) to begin sampling.

ÎWhen the clicking begins, release the ball immediately (don’t push) and step back.

ÏWhen the clicking stops, the collected data is transferred to the calculator and a plot of distance vs. time is displayed. Answer questions 2, 3, 4, and 5.

Explorations

Examine what happens for differing inclines.

ÊPredict what will happen if the incline increases. Answer question 6.

ËAdjust the incline to 30¡. Repeat steps 2 through 6. Add this plot to the drawing in question 6, labeled 30¡.

ÌRepeat steps 2 through 6 for inclines of 45¡ and 60¡ and add to the drawing.

ÍAnswer question 7.

Advanced explorations

Adjust the time values so that x = 0 for the initial height (the time at which the ball was released. You can do this manually by subtracting the x value for the first point from all the points on your plot, or you can enter L1(1)"A:L1NA"L1.

ÊCalculate the values for a, b, and c for the family of curves in the form y = ax2 + bx + c at 0¡, 15¡, 30¡, 45¡, 60¡, 90¡.

ËWhat are the minimum and maximum values for a? Why?

ÌWrite an expression describing the mathematical relationship between a and the angle of inclination.

30 GETTING STARTED WITH THE CBR 2™ SONIC MOTION DETECTOR

© 1997, 2004, 2006 TEXAS INSTRUMENTS INCORPORATED

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Contents Getting Started with the CBR 2 Sonic Motion Detector Important notice regarding book materials Table of Contents What’s in this guide? What is the CBR 2 Sonic Motion Detector?What does the CBR 2 sonic motion detector do? With a range between Download Getting started with the CBR 2 Sonic Motion DetectorRun Important informationHints for effective data collection Getting better samplesClear zone Sample Interval Speed of sound Activity 1-Graphing Your Motion Notes for Teachers Data collection Distance vs. Time Graphs Activity 1-Graphing Your Motion LinearObjectives TI-83/84 Family users TI-89/Titanium/92+/V200 Activity 1-Graphing Your Motion Linear Typical answers Activity 2-Match the GraphTypical plot Activity 2-Match the Graph Linear Data collectionExplorations Study the graph and answer questions 13, 14,Activity 2-Match the Graph Name Extensions Activity 3-A Speedy SlideSample results Activity 3-A Speedy Slide Parabolic Data collection, Part 1, Sliding SpeedActivity 3-A Speedy Slide Parabolic Activity 3-A Speedy Slide Parabolic Data processing Data collection, Part 2, a Speedier SlideSpeedier Slide Plan Data Activity 3-A Speedy Slide Advanced explorations Activity 4-Bouncing BallExplorations Activity 4-Bouncing Ball Parabolic Advanced explorations Distance-Time plot of the bounce forms a parabolaActivity 4-Bouncing Ball How do the data plot and the Yn graph compare?Activity 5-Rolling Ball Activity 5-Rolling Ball Parabolic Answer question Activity 5-Rolling Ball Teacher Information L3n = Mathematics of distance, velocity, and acceleration = slope of Distance-Time plotWeb-site resources Additional resourcesCollected data is stored in lists L1, L2, L3, L4 in Ranger Using the data listsSonic motion detector data is stored in lists Restoring EasyData settings to the defaults EasyData Settings TI-83 and TI-84 Family CalculatorsChanging EasyData settings TI83/84 Family TI89/Titanium/92+/V200 1997, 2004, 2006 Texas Instruments Incorporated Batteries If you have this problem Try this Case of difficultyEasyData Menu Map TI-83 and TI-84 Family Calculators Ball Bounce InstructionsTI Service and Warranty Texas Instruments TI Warranty InformationFor US Customers Only Customers in the U.S. and Canada OnlyAll Other Customers FCC information concerning radio frequency interferenceAustralia & New Zealand Customers only

CBR 2 specifications

Texas Instruments has long been a prominent player in the field of educational technology, and the CBR 2 (Calculator-Based Ranger 2) is a testament to their commitment to enhancing the learning experience, particularly in the realms of mathematics and science. Designed to complement graphing calculators, the CBR 2 is a versatile data-collection device that empowers students and educators to explore real-world phenomena through hands-on experimentation.

One of the main features of the CBR 2 is its ability to capture a wide array of data through various sensors. The device is equipped with an array of built-in sensors that can measure motion, including speed and distance. This makes it an invaluable tool for physics experiments, allowing students to visualize concepts such as speed, acceleration, and trajectory.

The CBR 2 utilizes ultrasonic technology to detect distance through sound waves. This feature enables students to conduct experiments that demonstrate principles of sound and motion in a tangible way. With a range of up to 6 meters, the CBR 2 provides accurate and reliable measurements that can be graphically represented using compatible Texas Instruments graphing calculators.

The device is highly user-friendly, with simple interfaces that allow users to easily collect and analyze data. The integration with graphing calculators simplifies the process of data visualization, enabling students to create graphs in real time as they conduct experiments. This capability is particularly beneficial in encouraging interactive learning and fostering a deeper understanding of scientific principles.

The CBR 2 is designed to be portable and durable, making it suitable for classroom settings as well as outdoor experiments. Its compact size and lightweight construction ensure that it can be easily transported, allowing educators to take learning beyond the confines of the classroom.

The CBR 2 also supports various modes of data collection, including Event Mode, which allows users to trigger data collection based on specific events. This feature is useful in demonstrating concepts such as projectile motion and collisions, providing students with hands-on experience that enhances their learning.

In summary, Texas Instruments' CBR 2 is a powerful educational tool that enables students to collect, analyze, and visualize data in an engaging manner. With its built-in sensors, ultrasonic technology, and seamless integration with graphing calculators, the CBR 2 stands out as a versatile device that enriches the educational experience. It not only provides a platform for conducting experiments but also cultivates critical thinking skills and a deeper understanding of scientific concepts, preparing students for a future in STEM fields.
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