function f($vc, $v1, $v2, $v3) {
$x = 1;
$t1 = $x / $vc;
$s1 = $x;
$s2 = $x;
$s3 = $v3 * $t1;
$t2 = ($s1 - $s3) / ($vc + $v3);
$s1 += $v1 * $t2;
$s2 += $v2 * $t2;
$s3 += $v3 * $t2;
$t3 = ($s2 - $s3) / ($vc - $v2);
$s = $s2 + $v2 * $t3;
return $s / ($t1 + $t2 + $t3);
}
function g($vc, $v2, $v3, $v4, $v5) {
$x = 1;
$t1 = $x / $vc;
$s2 = $x;
$s3 = $x;
$s4 = $v4 * $t1;
$s5 = $v5 * $t1;
$t2 = ($s2 - $s4) / ($vc + $v4);
$s2 += $v2 * $t2;
$s3 += $v3 * $t2;
$s4 += $v4 * $t2;
$s5 += $v5 * $t2;
$t3 = ($s2 - $s4) / ($vc - $v2);
$s2 = $s2 + $v2 * $t3;
$s3 = $s3 + $v3 * $t3;
$s4 = $s2;
$s5 = $s2;
$t4 = ($s3 - $s2) / (f($vc, $v2, $v4, $v5) - $v3);
$s = $s3 + $v3 * $t4;
$v = $s / ($t1 + $t2 + $t3 + $t4);
return $v;
}
echo 1000/g(10, 2, 3, 4, 5);
?>