Answer
a.) The maximum height of the shot = 18.35 feet.
It is far from the point of release = 35 feet.
b.) 77.8 feet
c.) 6.1 feet
Work Step by Step
a.) $f(x) = -0.01x^{2}+0.7x+6.1$
$a=-0.01, b=0.7, c=6.1$
The maximum height occurs at $x=\frac{-b}{2a}$
$x=\frac{-0.7}{2(-0.01)}= 35$
$f(35)=-0.01(35)^{2}+0.7(35)+6.1 = 18.35$
b.) $f(x)=-0.01(x)^{2}+0.7(x)+6.1=0$
$x= \frac{-0.7\pm \surd\overline{0.7^{2}-4(-0.01)(6.1)}}{2(-0.01)}$
$x\approx77.8$
c.) $f(0)=-0.01(0)^{2}+0.7(0)+6.1=6.1$
