Question 1027481
{{{ h = -16t^2 + 24t + 16 }}}
I want 2 solutions for {{{ h = 16 }}}
One of the solutions is when {{{ t = 0 }}}
{{{ h = -16*0^2 + 24*0 + 16 }}}
{{{ h = 16 }}}
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Set {{{ h = 16 }}} again
{{{ h = -16t^2 + 24t + 16 }}}
{{{ 16 = -16t^2 + 24t + 16 }}}
Subtract {{{ 16 }}} from both sides
{{{ -16t^2 + 24t = 0 }}}
{{{ t*( -16t + 24 ) = 0 }}}
{{{ -16t + 24 = 0 }}}
{{{ 16t = 24 }}}
{{{ t = 1.5 }}}
In 1.5 sec, the rock is on it's way down
and is at a height of 16 ft
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Here's the plot:
{{{ graph( 400, 400, -3, 3, -2, 30, -16x^2 + 24x + 16 ) }}}