Power equals force times velocity

Steps:

• Recall the definition of power: P = F × v.
• For constant power, P is fixed, so F = P / v.
• This shows F is inversely proportional to v.
• Graph F versus v yields a hyperbola decreasing from high F at low v to low F at high v.

Why A is correct:

• Option A depicts F decreasing inversely with v, matching F = P/v from the power formula.

Why the others are wrong:

• B shows constant F, implying increasing power P = Fv, not constant.
• C shows F increasing linearly with v, implying quadratic power growth.
• D shows F decreasing linearly with v, implying power varying as v(1 - kv), not constant.

Final answer: A