Texas Instruments CBR 2 manual Activity 5-RollingBall cont, Parabolic, ÍAnswer question

Models: CBR 2

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Activity 5—Rolling Ball (cont.)

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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Texas Instruments CBR 2 manual Activity 5-RollingBall cont, Parabolic, ÍAnswer question