If an Object Is Thrown Upward with an Initial Velocity $12 \mathrm{ft}$

Multiple Choice

If an object is thrown upward with an initial velocity of $12 \mathrm{ft}$ per sec, then its height (in feet) is given by $h(t) =-12 t^{2}+72 t$ after time $t$ seconds. What is its maximum height?

A) $36 \mathrm{ft}$
B) $108 \mathrm{ft}$
C) $147 \mathrm{ft}$
D) $144 \mathrm{ft}$