This gives ( X + c 2 / α α ) 2 − − c 2 T 2 = c 4 / α α 2 , which is a hyperbola in time T and the spatial location variable X . In this case, the accelerated object is located at X = 0 at time T = 0 . If instead there are initial values different from zero, the formulas for hyperbolic motion assume the form: