Perform differentiation on LVDT data to obtain acceleration. a) State and briefly describe your chosen numerical differentiation method (forward difference, backward difference, etc.). (3 pt.) b) Perform differentiation on the original calibrated data and show the results in a plot; comment on the results. (5 pt.) c) If necessary, employ decimation and/or smoothing techniques (e. g. moving average). What smoothing or decimation if any was performed and why? - be specific. (4 pt.) d) Compare the smoothed and/or decimated data to your initial differentiated data and your measured acceleration. Show the results in a plot. How do they differ and why? (10 pt.)