The Height (In Meters) of a Projectile Shot Vertically Upward $5.5$

The height (in meters) of a projectile shot vertically upward from a point $5.5$ m above ground level with an initial velocity of 25.48 m/s is $h=5.5+25.48 t-4.9 t^{2}$ after t seconds.

a. When does the projectile reach its maximum height?
b. What is the maximum height?

A) $2.4 \mathrm{~s}$
$34.428 \mathrm{~m}$
B) $2~s$
$32.86 \mathrm{~m}$
C) $2.6 \mathrm{~s}$
$38.624 \mathrm{~m}$
D) $2.8 \mathrm{~s}$
$34.428 \mathrm{~m}$
E) $2.3 \mathrm{~s}$
$34.183 \mathrm{~m}$