A robotic arm on an assembly line handles delicate components. To properly place these components, the position of the arm must be specified as a function of time. If, however, the acceleration of the arm is too great, the components may be damaged.
What is known:
The arm moves along a linear path.
The position of the arm is given by
x(t) = 0.3 t2 - 0.2 t3 m for 0
≤ t ≤
Knowing the position of the arm as a function of time,
What is the velocity as a function of time?
What is the acceleration as a function of time?
Analyze the rectilinear motion of a particle to determine the relationship
between position, velocity, and acceleration.
Use differentiation to determine the velocity and acceleration of
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