Scalars vs. Vectors in Power Equation

Steps:

• Recall power P = work W / time t, where work W = force F · displacement s.
• Identify vectors: quantities with magnitude and direction, like force F and displacement s.
• Identify scalars: quantities with magnitude only, like power P, work W, and time t.
• Match to choices: B correctly groups scalars (power, work, time) and vectors (force, displacement).

Why B is correct:

• Power is scalar (P = W/t), work is scalar (W = F·s), time is scalar; force and displacement are vectors per definitions in physics.

Why the others are wrong:

• A: Lists displacement as scalar (it's a vector) and power as vector (it's scalar).
• C: Lists power as vector (it's scalar) and work, time as scalars but omits proper vector grouping.
• D: Identical to C, misclassifying power as vector.

Final answer: B