Jogger $1$ is travelling east at $6\mathrm{.}5$ m$/$s and has a mass of $82$ kg$.$ Jogger $2$ is travelling north at $5\mathrm{.}8$ m$/$s and has a mass of $54\mathrm{.}5$ kg$.$ One of the joggers has their head down and doesnt see the other, resulting in a right$-$angle collision. Both joggers are locked together after the collision. Determine the direction and speed of the two joggers after the collision.