How to sketch a particle in 3D space

32 Views Asked by At

~r(t) =

  `Acosh(wt)
   Bsinh(wt)
   C`

How would I sketch this particle?

My original idea was writing it as x^2/A^2 - y^2/B^2 + z = 1 + c, which gives a hyperbola.

Because x = acosh(wt) , y = bsinh(wt) and z = c. Then I used hyperbolic identities.

Is this idea right? As I end up with a graph in 2D?