Power is force times velocity, so constant power means F is inversely proportional to v

Steps:

• Recall the definition of power: P = F × v.
• Since power is constant, P = constant.
• Rearrange to F = P / v, showing inverse proportionality.
• Thus, F decreases hyperbolically as v increases.

Why A is correct:

• Option A depicts F decreasing nonlinearly with v, matching F ∝ 1/v from the power formula.

Why the others are wrong:

• B shows linear decrease, implying constant acceleration, not constant power.
• C shows constant F, implying increasing power with v.
• D shows F increasing with v, implying accelerating power growth.

Final answer: A