Concept Library / Kinematics

Uniform Acceleration

Uniform acceleration means constant acceleration: velocity changes by equal amounts in equal time intervals.

Full explanation

Uniform acceleration means constant acceleration: velocity changes by equal amounts in equal time intervals.

The model does not require velocity to be constant. It requires the rate at which velocity changes to be constant. The model may describe speeding up or slowing down, depending on the relative signs of velocity and acceleration.

Formula / representation
  • A v-t graph is a straight line with constant gradient.
  • An a-t graph is horizontal.
  • A position-time graph is curved and, for one-dimensional motion, follows a quadratic relation.
  • The SUVAT equations are valid only over an interval where acceleration is constant.
Common misconceptions
  • Confusing uniform acceleration with uniform velocity.
  • Assuming a curved path automatically invalidates component-wise constant-acceleration modelling.
  • Applying one SUVAT equation across intervals with different accelerations.
  • Treating approximately linear experimental data as perfectly exact.
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