2) A rocket is launched vertically up from the ground. Assume that the gravita- tional acceleration of the Earth is uniform, g = 9.8 ms2. The rocket ejects fuel at an exponential rate, m = moe-kt, and the total time it takes to exhaust all the available fuel is r. The exhaust speed vex is constant. Find the maximum altitude, zmax, that the rocket can reach. [Answer: Zmax kut (kvex - 9).)

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Chapter1: Units, Trigonometry. And Vectors
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FIG. 1: Diagram for Prob 3
2) A rocket is launched vertically up from the ground. Assume that the gravita-
tional acceleration of the Earth is uniform, g = 9.8 ms-2. The rocket ejects fuel
at an exponential rate, m = moe-kt, and the total time it takes to exhaust all the available fuel is r. The
exhaust speed vex is constant. Find the maximum altitude, zmax, that the rocket can reach.
[Answer: Zmax =
ku
2g
(kvex-9).]
Transcribed Image Text:FIG. 1: Diagram for Prob 3 2) A rocket is launched vertically up from the ground. Assume that the gravita- tional acceleration of the Earth is uniform, g = 9.8 ms-2. The rocket ejects fuel at an exponential rate, m = moe-kt, and the total time it takes to exhaust all the available fuel is r. The exhaust speed vex is constant. Find the maximum altitude, zmax, that the rocket can reach. [Answer: Zmax = ku 2g (kvex-9).]
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