A particle moves according to metres

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves according to

s(t)=4t^{3}-15t^{2}+6

metres. At what time is its instantaneous velocity

12\,\text{m/s}

? (a)

\dfrac{5+\sqrt{33}}{4}\,\text{s}

(b)

\dfrac{5+\sqrt{41}}{4}\,\text{s}

(c)

\dfrac{5}{2}\,\text{s}

(d)

\dfrac{5+\sqrt{41}}{2}\,\text{s}