4. (12 pts) Watch this video of SpaceX launch of a Starlink Mission from the Vandenberg https://www.youtube.com/watch?v=ag YuEAkEljw Space Force Base in California: (a) Using Excel, Python, any other computer program, or a graphing calculator, make a graph of the speed of the Stage 1 rocket as a function of time between t = 00:00:00 (launch) and t = 00:09:00 (landing, 9 minutes after launch). Include in your PDF exam upload, a printout, photo or screenshot of your graph. Hint #1: You should use at least 50 points (1 point every ~10 seconds) to make your graph. During time intervals when the speed changes rapidly, you should consider plotting I point every ~2 seconds. Hint #2: For guidance on how to make this graph using Microsoft Excel, visit this Canvas page: https://uab.instructure.com/courses/1606356/pages/guidance-on-numerical-graphs- derivatives-and-integrals (b) Describe in words how the speed of Stage 1 (revealed by your graph) changes as a function of time between t = 00:00:00 and t = 00:09:00. (c) Make a graph of the tangential acceleration of Stage 1 between t = 00:00:00 and t = 00:09:00. Include in your PDF exam upload, a printout, photo or screenshot of your graph. Hint: The tangential acceleration is the acceleration along the trajectory. (d) Describe in words how the tangential acceleration of Stage 1 (revealed by your graph) changes as a function of time between t = 00:00:00 and t = 00:09:00. Explain the reasons for any abrupt changes in acceleration, and the meaning of the sign (positive or negative) of the acceleration. (e) Calculate the distance (in kilometers) traveled by Stage 1 along its trajectory between t = 00:00:00 and t = 00:09:00.

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