Question

I need help deriving this

Answer 1

\[v _{2}(t)=(v _{2}(0)+\frac{ gM }{r})e ^{r t/M}-\frac{ gM }{ r }\]

Answer 2

respect from t?

Answer 3

yeah with respect to t

Answer 4

deriving is different from differentiating
for a moment i thought you want to prove that thing
because deriving means to derive a formula from something else something of that sort
while differentiating means to take derivative of the expression

Answer 5

ha sorry for the confusion yeah i meant differentiate