A robotics engineer designs a robotic arm that moves in precise increments. The arm extends by 3.5 cm per second and contracts by 1.8 cm per second during calibration. If the arm extends for 12 seconds and then contracts for 7 seconds, what is the net displacement of the robotic arm in centimeters?

In a growing number of manufacturing and automation projects across the United States, precision robotic systems are becoming essential for accuracy and efficiency. Engineers are increasingly focused on developing robotic arms capable of controlled, repeatable movements—such as extensions followed by calibrated retractions—critical for tasks like micro-assembly, surgical tool positioning, and factory automation. This demand is fueling innovation in motion control and calibration science, where even tiny incremental changes matter. When a robotic arm moves forward at 3.5 cm per second for 12 seconds, followed by a retraction of 1.8 cm per second over 7 seconds, understanding the net motion offers insight into real-world precision engineering.

Understanding the Movement: Extend and Contract in Motion

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