Final answer:
The equation for terminal velocity involves the balance of gravitational and drag forces, represented as vt = √(2w/pCA), where 'w' is weight, 'p' is the air density, 'C' is the drag coefficient, and 'A' is the cross-sectional area. Unfortunately, none of the equations provided by the student match this form.
Step-by-step explanation:
The equation for terminal velocity can be derived from the balance between the gravitational force and the drag force on a falling object. Once these forces are equal, the object no longer accelerates and reaches terminal velocity. The correct equation for terminal velocity, given weight (w), drag coefficient (C), cross-sectional area (A), and air density (p), is
vt = √(2w/pCA)
None of the equations provided in the student's question directly match the standard form for terminal velocity. However, it's worth noting that the equation for terminal velocity involves factors like the drag force and the balance of forces at the point where the net acceleration is zero. The equation provided in the question lacks these components and therefore cannot be said to be the correct equation for terminal velocity.