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A particle moves along the $y$-axis with its position defined by the equation $s(t)={\cfrac{ { t }^{ 3 } }{3}-{ 4t }^{ 2 }+3 },$ in feet.

Find the average velocity of the particle on the interval $[0,3]$ seconds.

$-9\ \text{ft/sec}$

$-8\ \text{ft/sec}$

$-7.5\ \text{ft/sec}$

$-15\ \text{ft/sec}$