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TECHNOLOGY-BASED LAB ACTIVITIES

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DATA TABLE<br />

Distance between photogates (m), d<br />

Table height (m), ∆y<br />

Launch<br />

point<br />

Trial<br />

Time (s),<br />

∆t<br />

Horizontal<br />

velocity (m/s),<br />

v<br />

Horizontal<br />

distance (m),<br />

∆x<br />

Average<br />

velocity (m/s),<br />

v<br />

Average<br />

distance (m),<br />

∆x<br />

Low<br />

Medium<br />

High<br />

1<br />

2<br />

3<br />

1<br />

2<br />

3<br />

1<br />

2<br />

3<br />

ANALYSIS<br />

1. Calculating Use your time intervals and the distance between the photogates<br />

to calculate the horizontal velocity, v, of the ball for each trial. Velocity<br />

can be calculated as v = d/∆t. Enter these values in your data table.<br />

2. Averaging Determine the average velocity and average horizontal distance<br />

for the ball traveling from each mark on the ramp, and enter them in your<br />

data table. Which mark produced the greatest average velocity?<br />

3. Graphing data Use your calculator or a piece of graph paper to graph your<br />

data. Plot average velocity, v, as the independent variable and average horizontal<br />

distance, ∆x, as the dependent variable. How does the graph compare<br />

to the sketch that you drew for item 2 of Developing the Model?<br />

4. Interpreting graphs The graph of your data should suggest a linear relationship<br />

between the horizontal velocity, v, and horizontal distance, ∆x,<br />

according to the following equation:<br />

∆x = s obs v<br />

where s obs is the slope of a line through the observational data. Use two<br />

points on the graph to calculate a slope, s obs , using the following equation:<br />

s obs = ∆x 2 −∆x 1<br />

⎯⎯<br />

v2 − v 1<br />

Copyright © by Holt, Rinehart and Winston. All rights reserved.<br />

22 HOLT PHYSICS Technology-Based Lab Activities

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