A group of students in the Mobile Robotic Club is designing a prototype of a folding...

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A group of students in the Mobile Robotic Club is designing a prototype of a folding cloth robot. In an experiment to study the movement of the robot's arm, the switch is turned on at Os and it is found that the speed of the robot's arm moves very fast and seems not stable. The students turned off the switch at 2.0 s and turned on the switch again at 2.4 s. This time, the movement of the robot's arm looks more stable and the switch is turned off at 3.6 s. Figure 1 shows the graph and equations representing the speed of the robot's arm movement at time 0 ≤x≤ 2.0 and 2.4 ≤x≤ 3.6 s. Speed, (cm/s) 35 30 25 20 15 10 O O f(x)=x²e* f(x) = 1.22x 3 2 x, (s) Figure 1: Speed of Robot's Arm Employ the 2-point Gauss-Legendre to determine the total movement by the robot's arm in the whole experiment. [20 Marks] A group of students in the Mobile Robotic Club is designing a prototype of a folding cloth robot. In an experiment to study the movement of the robot's arm, the switch is turned on at Os and it is found that the speed of the robot's arm moves very fast and seems not stable. The students turned off the switch at 2.0 s and turned on the switch again at 2.4 s. This time, the movement of the robot's arm looks more stable and the switch is turned off at 3.6 s. Figure 1 shows the graph and equations representing the speed of the robot's arm movement at time 0 ≤x≤ 2.0 and 2.4 ≤x≤ 3.6 s. Speed, (cm/s) 35 30 25 20 15 10 O O f(x)=x²e* f(x) = 1.22x 3 2 x, (s) Figure 1: Speed of Robot's Arm Employ the 2-point Gauss-Legendre to determine the total movement by the robot's arm in the whole experiment. [20 Marks]

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