The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

In an assembly operation, the robot's arm moves along a straight horizontal line. During an interval of time from t = 0 to t = 1 s, the position of the arm is given by s = 30t2: – 20t3 mm.

(a) Determine the maximum velocity during this interval of time.

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(b) What are the position and acceleration when the velocity is a maximum?