Question 1029500
Using feet and seconds, the function would look like:
{{{ h(t) = -16t^2 + 185 }}}
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The 1st term tells you what the effect of gravity is
when the ride is released at the top, which is when
{{{ t = 0 }}} and {{{ h(0) = 185 }}}
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The ride is at the bottom when {{{ h(t) = 0 }}}
and you find what {{{ t }}} is at {{{ h(t) = 0 }}}
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Here's the plot:
{{{ graph( 400, 400, -2, 5, -20, 250, -16x^2 + 185 ) }}}
It looks like the riders hit the ground ( very hard )
at a little less than {{{ t = 3.5 }}} sec