Sounding Rocket Trajectory. Sounding rockets are used to probe different levels of the atmosphere to collect information such as that used to monitor the levels of ozone in the atmosphere. In addition to carrying the scientific package for collecting data in the upper atmosphere, the rocket carries a telemetry system in its nose to transmit data to a receiver at the launch site. Besides the scientific data, performance measurements on the rocket itself are transmitted to be monitored by range safety personnel and to be later analyzed by engineers. These performance data include altitude, velocity, and acceleration data. Assume that this information is stored in a file and that each line contains contains four values: time, altitude, velocity, and acceleration. Assume that the units are s, m, m/s, and m/s2, respectively.
After each stage of the rocket is fired, the acceleration will initially increase and then decrease to −9.8 m/s2, which is the downward acceleration due to gravity. Find the periods of the rocket flight during which the acceleration is due only to gravity. Allow the acceleration to range within 65% of theoretical value for these periods. Use the data file rocket3.dat, which does not contain a header line or a trailer line.
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