Let $\displaystyle {s}{\left({t}\right)}={8}{t}^{{3}}-{24}{t}^{{2}}-{192}{t}$ be the equation of motion for a particle. Find a function for the velocity.
$\displaystyle {v}{\left({t}\right)}=$Preview Question 6 Part 1 of 4  

Where does the velocity equal zero? [Hint: factor out the GCF.]
$\displaystyle {t}=$ and $\displaystyle {t}=$

Find a function for the acceleration of the particle.
$\displaystyle {a}{\left({t}\right)}=$Preview Question 6 Part 4 of 4