Terminal velocity in resistive medium

Steps:

• Object falls under gravity with initial acceleration g; velocity increases.
• Air resistance (drag) opposes motion and grows with velocity squared.
• Net force decreases as drag rises, reducing acceleration over time.
• Eventually, drag equals weight; net force zero, velocity constant.

Why C is correct:

• Graph shows velocity approaching horizontal asymptote, matching terminal velocity where mg = kv² (balance of forces).

Why the others are wrong:

• A: Linear increase implies constant acceleration, ignoring drag.
• B: Exponential curve suggests unrealistic rapid approach without leveling.
• D: Decreasing trend contradicts upward motion under gravity.

Final answer: C