Question 1073967
The equation looks wrong
Is it {{{ y = -.005x^2 + .17x + 3 }}} ?
If so, then:
The x-value at maximum height is
{{{ x[v] = -b/(2a) }}} where
{{{ a = -.005}}}
{{{ b = .17 }}}
----------------
{{{ x[v] = -b/(2a) }}}
{{{ x[v] = -.17/(2*(-.005)) }}}
{{{ x[v] = 17 }}}
and
{{{ y = -.005x^2 + .17x + 3 }}}
{{{ y[v] = -.005*17^2 + .17*17 + 3 }}}
{{{ y[v] = -1.445 + 2.89 + 3 }}}
{{{ y[v] = 4.445 }}}
The maximum height of the ball is 4.445 ft
-----------------------------------------
At {{{ x = 30 }}}
{{{ y = -.005x^2 + .17x + 3 }}}
{{{ y(30) = -.005*30^2 + .17*30 + 3 }}}
{{{ y(30) = -4.5 + 5.1 + 3 }}}
{{{ y(30) = 3.6 }}}
The ball will clear the net by {{{ 3.6 - 3 = .6 }}}
feet which is {{{ .6*12 = 7.2 }}} inches