Power as rate of work or force times velocity

Steps:

• Recall power is the rate of doing work: P = W / t.
• Alternatively, P = F × v, since work W = F × d and d/t = v.
• Evaluate options: identify which multiplication yields P.
• Match A to F × v; dismiss others as they produce work (C) or unrelated units.

Why A is correct:

• Power equals force times velocity per the formula P = F · v, where velocity is speed in the force direction.

Why the others are wrong:

• B: Work × time equals energy × time, which is action (joule-seconds), not power.
• C: Force × distance equals work or energy (joules), not power.
• D: Work × velocity has units of energy × speed (joule-meters/second), not standard power.

Final answer: A