In kinematics, what expression represents acceleration in its simplest form?

• A. distance divided by time
• B. velocity divided by time
• C. speed multiplied by time
• D. pi r^2

Answer: (B)

Acceleration is the rate at which velocity changes with time. It’s defined as the change in velocity over the change in time, a = Δv/Δt (or as the instantaneous rate dv/dt). This makes acceleration a measure of how quickly velocity is gained or lost per unit of time. Among the options, distance divided by time describes speed, not acceleration; speed multiplied by time gives distance; pi r^2 is area. The expression velocity divided by time aligns with the idea of velocity changing per unit time, and in simple scenarios where acceleration is constant and velocity grows linearly from zero, velocity divided by time directly reflects acceleration.