The height (in meters) of a drone seconds after launch is modeled by for

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

Problem

The height (in meters) of a drone

t

seconds after launch is modeled by

H(t)=-t^{3}+3t^{2}+12

for

0\le t\le 4

. At what time does the drone reach its greatest height during this interval? (a)

t=1\text{ s}

(b)

t=4\text{ s}

(c)

t=2\text{ s}

(d)

t=0\text{ s}