Derek kicks a soccer ball off the ground and in the air, with an initial velocity of 31 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches?
Apply the maximum condition,
\(H'(t)=0\Rightarrow t=v/32\)
Find the height at this time,
\(H(v/32)=\frac{v^2}{64}+s\)