/ x \ / a \ log|-----| - v*g*t - log|-----| \v - x/ \v - a/
log(x/(v - x)) - v*g*t - log(a/(v - a))
/ -a \ / x \ - log|-----| - g*t*v + log|-----| \a - v/ \v - x/
-log(-a/(a - v)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
-log(a/(v - a)) - g*t*v + log(x/(v - x))
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))
/ a \ / x \ - log|-----| - g*t*v + log|-----| \v - a/ \v - x/
-log(a/(v - a)) - g*t*v + log(x/(v - x))