How do the terminal velocity of two objects compare if they both have the same mass but one has the larger surface area

Explanation:

Terminal velocity is the speed at which drag force equals weight.  If two objects have the same mass (and therefore the same weight), but one has a larger surface area, then the object with the larger surface area will have a lower terminal velocity.

We can show this using the equation for drag force.  When drag equals weight:

W = D

mg = ½ρv²CA

Solving for v²:

v² = 2mg / (ρCA)

With m (mass), ρ (air density) and C (drag coefficient) held constant, v decreases as A increases.