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 also carries a telemetry system to transmit scientific data to a receiver at the launch site. Performance measurements on the rocket itself are also transmitted, so they can be monitored by range safety personnel and 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 four values—time, altitude, velocity, and acceleration. Assume that the units are seconds, meters, meters/second, and meters/second2, 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 time periods of the rocket flight during which the acceleration is due only to gravity. Allow the acceleration to range up to 65% of the theoretical value for these time periods. Use the data file rocket3.txt, which does not contain a header line or a trailer line.
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