The robotic arm needs to adjust its velocity to pick up components efficiently without causing disruptions to the production line. The equation governing the arm's velocity is given by where v represents the velocity of the arm in m/s. Determine the time it takes for the arm to reach a velocity of 4 m/s, starting from rest.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The robotic arm needs to adjust its velocity to pick up components efficiently without causing disruptions to the production line. The equation governing the arm's velocity is given by where v represents the velocity of the arm in m/s. Determine the time it takes for the arm to reach a velocity of 4 m/s, starting from rest.

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