so, i think it is, e is special number, as when you intigrate x^e it produces the same thing. so changing x makes the number grow twice as fast (i need to actually look this up)
ok, scratch that. e^t has a derivitve of e^t
mutiplying t results in th dervivitive being me^mt
replacing this with i we get the derivitive being purly imaginary
now,this is calculus, have the first equasion as the distance and the second being your velocity
using the special numberline for complex numbers
the tangential velocity times pi radians ends it up at -1.
there is a good video by 3blue1brown that explains this
