Physics I Lab Manual 2011 30

# Physics I Lab Manual 2011 30 - EXPERIMENT 3. FREE FALL...

This preview shows page 1. Sign up to view the full content.

EXPERIMENT 3. FREE FALL ANALYSIS so that an object moving in 1-dimension with constant acceleration has a displacement of the form y ( t ) = y 0 + v 0 t + 1 2 at 2 Since we have an expectation for the functional form of the measurements of the displacement versus time, we can use a process called curve ﬁtting to determine the parameters of the function relating the measured quantities. In this case the initial position y 0 , initial velocity v 0 and the acceleration a are the parameters relating displacement to time. Knowing these parameters would allow one to calculate the displacement y calc ( t ) at any time and plot a continuous curve. Because of uncertainty in measurements, however, the measured data points would not be expected to lie exactly on this curve (although the range they include - denoted by “error bars” should overlap the plot for 68% of the data). When given a set of data points one can seek the parameters of the function that provide the best matching of the calculated values to the measured values. Starting with some
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online