Question 936959
{{{ h(t) = -4.9t^2 + 30t + c }}}
The ball is thrown from the ground, so
that tells me:
{{{ h(0) = 0 }}}
{{{ h)0) = -4.9*0^2 + 30*0 + c }}}
{{{ 0 = 0 + 0 + c }}}
{{{ c= 0 }}}
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{{{ h(t) = 0 }}}
I already know that {{{ h(0) = 0 }}}
{{{ 0 = -4.9t^2 + 30t + 0 }}}
{{{ -4.9t^2 + 30t = 0 }}}
{{{ t*( -4.9t + 30 ) = 0 }}}
{{{ -4.9t + 30 = 0 }}}
{{{ 4.9t = 30 }}}
{{{ t = 6.122 }}}
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{{{ t = 0 }}} is when ball is trown upward
{{{ t = 6.122 }}}sec is when th ball lands
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Here's the plot:
{{{ graph( 400, 400, -1, 7, -5, 50, -4.9x^2 + 30x ) }}}