Question 981162
The formula would be:
{{{ h(t) = -16t^2 + 96t }}}
The maximum height is where:
{{{ t[max] = (-b)/(2a) }}}
{{{ t[max] = (-96)/(2*(-16)) }}}
{{{ t[max] = 3 }}}
Plug this value of {{{ t }}} back into equation
{{{ h(3) = -16*3^2 + 96*3 }}}
{{{ h(3) = -144 + 288 }}}
{{{ h(3) = 144 }}}
The maximum height is 144 ft
Here's the plot of {{{h}}} & {{{t}}}
{{{ graph( 400, 400, -1, 8, -20, 200, -16x^2 + 96x ) }}}