K326 / K327 / 2027
Kinematics overview

Chapter revision

Revision summary

Key ideas, equations and common mistakes. Open any topic below for the full explanation.

Average speed
Total distance / total elapsed time. Include stops. Unit: m/s.
Acceleration
(v - u) / t. Constant throughout a uniform interval; otherwise an average. Unit: m/s2.
Free fall near Earth
g is approximately 10 m/s2 downwards. Air resistance is neglected.
What height, gradient and area tell you
FeatureDistance-timeSpeed-time
HeightDistance in mSpeed in m/s
GradientSpeedAcceleration
Horizontal lineAt restConstant speed; rest only at zero
AreaDoes not give distance or displacementDistance travelled

Measure free-fall acceleration

Two light gates time the passage of the same short flag. Speed = flag length / blocked duration. For approximately uniform acceleration, assign each speed to the midpoint of its blocked interval, then use the time between those midpoints in a = (v - u) / t. The supplied speeds 1.00 and 2.00 m/s at 0.0100 and 0.1120 s give about 9.8 m/s2 downwards. This is a free-fall determination only if other forces are negligible. Align the flag and gates, use a suitable timer and keep the attached body out of the beam; repeats do not fix a wrong flag length or time interval.

Check your answer

  • Identify the axes and the time interval.
  • Use changes on both axes for a gradient.
  • Split graph areas into rectangles and triangles; triangle area = (1/2) x base x height.
  • Give units, and direction when the quantity needs it.
  • State assumptions such as uniform acceleration or negligible air resistance.
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