Acceleration as Rate of Velocity Change

Steps:

• Recall the standard physics definition: acceleration measures how quickly velocity changes.
• Evaluate option A: kinetic energy involves mass and velocity squared, not directly acceleration.
• Evaluate option B: momentum change relates to force via Newton's second law, not acceleration itself.
• Evaluate option C: displacement change is velocity, not acceleration.
• Confirm option D matches the definition of acceleration as Δv/Δt.

Why D is correct:

• Acceleration is defined by the formula $a = \frac{\Delta v}{\Delta t}$, the rate of change of velocity over time.

Why the others are wrong:

• A: Kinetic energy change rate is power, not acceleration.
• B: Momentum change rate is force, per $F = \frac{\Delta p}{\Delta t}$.
• C: Displacement change rate is velocity, $v = \frac{\Delta s}{\Delta t}$.

Final answer: D