Simplifying your vocabulary.
Tow Strap. Generally yellow, Flat and two to three inches wide. Loops on each end. Usually 20 to 30 feet long. Generally 20K to 40K break point. For all intents, it has no elastic properties. Can be used for vehicle recovery or towing. When using a tow strap for recovery, connect both vehicles to the strap using tow-hooks, D-rings or soft shackles. Begin by having the tow vehicle slowly creep forward until the tow strap is taught. When vehicle to be recovered is ready, SLOWLY add power and recover the vehicle. Coordination with both drivers is essential such as where to stop the tow.
Kinetic recovery rope. Various colors and capacities. Round, and with varying widths. Also with loops on each end. Lengths also vary, generally 20-30 feet. Can also be connected the same as above, but I prefer using soft shackles. Kinetic rope has significant elastic properties. Can be used for towing when you have no other options. I wouldn't recommend using a kinetic rope as a primary tow rope due to the kinetic rope's inherent elasticity. The idea with kinetic rope is to connect both vehicles, keeping slack on the rope. The tow vehicle should gradually increase speed to take out the slack in the rope, as the tow vehicle continues forward slightly increasing speed, it transfers energy into the rope stretching it to it's capacity. When max stretch is achieved, like a rubber band, the rope will seek to return to it's resting state transferring the stored energy to the recovery vehicle, freeing it from its "stuck-ness".