A particle is able to move along s-axis. It's acceleration a is dependant on velocity v according to a = v2/b For t = 0

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A particle is able to move along s-axis. It's acceleration
a is dependant on velocity v according to
a = v2/b
For t = 0 => s=0 and v=v0 > 0. What is:
a) v(s)
b) s(t)
c) v(t)
d) a(t)
e) a(s)
For a) I get v(s) = v0e^(s/b) but the answer given is
v(s) = v0e^-(s/b) and for b) I get s(t) =
v0t-bln(t) but the answer given is s(t) =
bln(1+(v0t/b)) so there is something I dont understand
here. Please show how this is done.
(insert function module wont display the
equations)