The Position of the Center of Mass of a System

question 36

Multiple Choice

The position of the center of mass of a system of particles moves as x = 4.5 t + 2.4 t² + 1.1 t³, where x is in meters.If the system starts from rest at t = 0, what is its velocity at t = 3.0 s?

• A)8.0 m/s
• B)21 m/s
• C)49 m/s
• D)64 m/s
• E)65 m/s

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Definitions:

Continuous Random Variable

A type of random variable that can take an infinite number of possible values in a continuous range.

Discrete Random Variable

A variable that can take on a finite or countably infinite set of values, each with a measurable probability.

Density Function

A mathematical function that describes the probability distribution of a continuous random variable.

Probability Density Function

A function that describes the likelihood of a continuous random variable falling within a particular range of values.