Over 400 years ago, Galileo conducted a series of experiments on the paths of projectiles, attempting to find a mathematical description of falling bodies.
This experiment consisted of rolling a ball down a grooved ramp that was placed at a fixed height above the floor and inclined at a fixed angle to the horizontal. The ball left the end of the ramp and descended to the floor. Galileo altered the release height of the ball (h) and measured the distance (d) the ball travelled before landing.
Distance | Height |
573 534 495 451 395 337 253 |
1000 800 600 450 300 200 100 |
Copy and paste the data in the table above into the x and y columns in the quadratic regression applet. You will have to copy and paste one column at a time.
After the data is in the applet, press plot and analyze data.
Resources used above:
Quadratic Regression Applet. Dr. Philippe B. Laval, Kennesaw State University.