Vector Quantities in Equations

Steps:

• Recall that vector quantities have both magnitude and direction, unlike scalars which have only magnitude.
• Analyze each equation to identify quantities: vectors include displacement, velocity, acceleration; scalars include speed, distance, mass, density, volume, length.
• Check option A: acceleration (vector) = change in velocity (vector) / time (scalar).
• Confirm options B, C, D involve only scalars.

Why A is correct:

• Newton's second law relates acceleration as the vector change in velocity divided by time, confirming both acceleration and velocity as vectors.

Why the others are wrong:

• B: Speed, distance, and time are all scalars.
• C: Density, mass, and volume are all scalars.
• D: Volume and its dimensions (length, width, height) are all scalars.

Final answer: A