what's the area under a force-vs-time curve: momentum, impulse, or velocity?

Impulse. (It happens to equal the change in momentum, as well)

i thought so.. thanks for the clarification.

You're welcome! I'm glad I could clarify that for you. To further explain, the area under a force-vs-time curve represents the impulse applied to an object. Impulse is defined as the change in momentum of an object, which is the product of an object's mass and its velocity. So, when you calculate the area under a force-vs-time curve, you are essentially finding the impulse applied to the object, which is equal to its change in momentum.