The graph which shows the velocity of the particle at any time is attached below.
<h3>How to depict the graph?</h3>The graph is the rate of change of position of an object with respect to time. Velocity is the speed of an object moving in a definite direction.
Velocity is a vector quantity as it has both magnitude and direction. The velocity of a particle is modeled by the function. It is observed that the given velocity function is a cubic function. The attached graph shows the velocity of the particle at any time.
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Answer:
Step-by-step explanation:
First, on the right-hand side of the equation, let's distribute the to each term in the parenthesis:
Now, let's move all the terms with an to the left-hand side, and everything else to the right-hand side of the equation:
Let's combine like terms:
Finally, let's divide each side by to get
by itself on the left-hand side of the equation: