Question 1052691
The t-value of the vertex ( maximum height ) is
goiven by the formula:
{{{ t[max] = -b/(2a) }}}, where:
{{{ a = -16 }}}
{{{ b = 48 }}}
{{{ t[max] = -48/(2*(-16)) }}}
{{{ t[max] = 24/16 }}}
{{{ t[max] = 3/2 }}}
Plug this result back into equation
{{{ h(3/2) = -16*(3/2)^2 + 48*(3/2) + 60 }}}
{{{ h(3/2) = -16*(9/4) + 72 + 60 }}}
{{{ h(3/2) = -36 + 132 }}}
{{{ h(3/2) = 96 }}}
The maximum height is 96 ft
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Here's the plot:
{{{ graph( 400, 400, -1, 5, -15, 125, -16x^2 + 48x + 60 ) }}}