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Problem Statement | The aCEE race happens once every Galactic year. The goal is simple: starting from rest at Alpha Cen- tauri, the first spaceship

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Problem Statement | The aCEE race happens once every Galactic year. The goal is simple: starting from rest at Alpha Cen- tauri, the first spaceship to reach Epsilon Eridani wins. There is a catch, the only propulsion systems allowed are matter- antimatter annihilators that provide thrust. So no wormhole generators, cytonic hyperdrives, time machines, or any device that doesn't use thrust produced directly from the matter-antimatter interactions. Each contestant must submit their engi- neering designs for their matter-antimatter drive to the aCEE race governing board exactly 0.137 Galactic years before the race begins. The velocity profile for two alien ships, Calyxian and Dulopsezs, were taken from the submitted engineering designs and shown below. The axes are identical for each design (e.g. v2 on the Calyxian graph is the same v2 on the Dulopsezs graph). Calyxian Spaceship Velocity Graph Dulopsezs Spaceship Velocity Graph V V or t 0 t, t2 to ta t5 to 0' t, t2 to t4 ts to (a) Describe the motion of the Calyxian spaceship throughout its entire motion. Break this description up into intervals for easier communication (e.g. between time 0 and t1, between t, and t2, etc...). Your solution should include de- scriptions of position, velocity, and acceleration. (b) Which spaceship would win the race? Use the provided graphs to support your

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