a. You have received data of a heavy metal ball being dropped repeatedly on a distant planet. It is known that gravity on this planet has a value of 7.42 m/s².

The data is provided below:

Using the data provided, calculate a value for acceleration (remember the formula h=12gt2) on this planet and compare it to the known value of gravity. You may use the analysis tools you learned in lab for calculation (algebraic or linearization) and comparison (e.g. dot-and-whisker, t-score, etc.). Show your work so that it is clear how you calculated the value and its uncertainty. In addition, include a written description of your methods, and a written explanation of whether or not your measured value agrees with the known value and how you know.

Download the sample data onto your device, and open it in Excel and upload your spreadsheet to this question.

Height (m) 0.30 0.50 0.70 0.90 1.10 1.30 Uncertainty (m) 0.01 0.01 0.01 0.01 0.01 0.01 Trial 1 0.16 0.29 0.41 0.51 0.50 0.60 Trial 2 0.35 0.32 0.45 0.50 0.55 0.60 Trial 3 0.21 0.42 0.46 0.50 0.49 0.55 Time for Object to Fall to Ground (s) Trial 4 0.17 0.35 0.44 0.45 0.58 0.54 Trial 5 0.40 0.36 0.44 0.45 0.52 0.59 Trial 6 0.19 0.32 0.48 0.52 0.52 0.57 Trial 7 0.15 0.26 0.45 0.52 0.58 0.55 Average (s) 0.23 0.33 0.45 0.49 0.53 0.57 Uncertainty (s) 0.04 0.02 0.01 0.01 0.01 0.01 Average (s2) 0.05 0.11 0.20 0.24 0.29 0.32 Uncertainty in Average2 (s2) 0.02 0.01 0.01 0.01 0.01 0.01 Methods