In a manufacturing process, a drill press automatically drills a hole into a sheet metal part on
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In a manufacturing process, a drill press automatically drills a hole into a sheet metal part on a conveyor. In the drilling operation the drill bit starts at rest directly above the part, descends quickly, drills a hole, and quickly returns to the start position. The maximum vertical speed of the drill bit is 4 in./s, and while drilling the hole, it must move no more than 2.6 in./s to avoid warping the metal. Let s(t) be the drill bit’s height (in inches) above the part as a function of time t in seconds. Sketch possible graphs of the drill bit’s velocity [s"(t)] and acceleration [s"(t)].
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