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 direcdly 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 biť'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)].

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 direcdly 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 biť'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)].
Transcribed Image Text: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 direcdly 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 biť'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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