Mathematics

Problem

The height (in meters) of a projectile is given by

h(t)=-4.9t^{2}+24t+1

for

0\le t\le5

, where

t

is time in seconds. At what time does the projectile reach its greatest height during this interval? a)

t=1.2\text{ s}

t=5.0\text{ s}

t\approx2.45\text{ s}

t\approx4.9\text{ s}