For questions that require calculations, please show all formulas used and detailed algebra steps concluding with the final numerical result. For questions that require text, please use complete sentences.

Physics 161 Gravity Experiment Pro-lab assignment for second week In second week of the lab on gravity you will be asked to do linear regressions like the one in the paper by Pond & Williams. The linear regressions, or linear ts, will allow you to calculate the acceleration of gravity for all objects (plastic balls, cotton balls and coffee lters). You could use any software you feel comfortable with (EXCEL, Matlab, Mathematica, Python, ...). If you are new to linear regression, explore the website curveflt, as it allows you to easily introduce the error bars of your experimental data points and it also computes the uncertainty in the slope. Tasks: 1. Watch the short video on YouTube following the link https:ifbit.ly.-"2kVleD (remember that you can activate subtitles on YouTube). 2. Consider the following experimental data obtained by some experimenters dropping an object: Note: this could be any object, don't assume it is a rubber ball, cotton ball or coffee lter. Drop time (5) Drop distance (cm) 0.23 20 0.34 50 0.56 130 0.63 160 0.68 190 3. The experimenters are condent that their drop distances are accurate to within d: 0.5 mm. The experimenters are not so certain of their time intervals due to their reaction time, but their stopwatches work down to 1i100 of a second. Use curve.fit (or MS Excel or your favorite graphing program) to plot the experimental values from the table above to determine the acceleration of the object. Make sure you work with SI units, and you label correctly all axes and write a suitable title for the plot. Him: your piol will not be drop time versus drop distance as that wiii not yield a linear plot. 4. Does your plot yield a result of 9.8 mfsz'.' If so then what do you think the experimenters did that yielded fantastic results? If not what could be a source of systematic experimental error that would throw off results? Submit your work to Canvas as an image or MS Word document