Question: 6 . ( 1 2 pts ) A hoist on a factory ceiling, capable of carrying objects, has a maximum speed of ( 5

6.(12 pts) A hoist on a factory ceiling, capable of carrying objects, has a maximum speed of \(5[\mathrm{~m}/\mathrm{s}]\) and a maximum acceleration of \(10[\mathrm{~m}/\mathrm{s}2]\). The goal is to move the hoist 20 meters using a trapezoidal velocity profile. Design a trapezoidal velocity trajectory as shown below to complete the movement in the shortest possible time.
6 . ( 1 2 pts ) A hoist on a factory ceiling,

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