Speed and direction coming off the cape are only a minor component. More important are mid or low level circulation and convection at some point. A lot of waves traverse the entire Atlantic before they have much convection, some are just barely visible on satellite. As far as direction, that is dependent on the strength of the system and the evnrionemnt around it. A weak wave is mostly affected by the low level environment, a stronger storm by the mid level, and a fully developed tropical system by the upper levels. The stronger the storm, the more the mid and upperr levels will affect the direction. If you just look at some animations of satellite images, you will see that at different levels the clouds move in sometimes completely oopposite directions. This is an extremely complex environemnt at any one moment. To get a feel for what is going on you have to look at lots and lots of information, and you have to look at it in 3D, height makes a difference, And height is defined by pressure, not by altitude, so it gets even more complex.

Bill