Solución
$$\bold{r}(s) = \bigg(1+\frac{s}{\sqrt{2}}\bigg)sen\bigg(ln(1+\frac{s}{\sqrt{2}})\bigg)\bold{i} + \bigg(1+\frac{s}{\sqrt{2}}\bigg)cos\bigg[ln\big(1+\frac{s}{\sqrt{2}})\bigg]\bold{j} $$