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Kinematics graphs

Displacement-time, velocity-time graphs. Gradient = velocity/acceleration; area = displacement/velocity-change.

Y12 Mechanics. d-t graph gradient = velocity. v-t graph gradient = acceleration; area under = displacement.

Worked examples
v-t graph triangle area = displacement.
Constant acceleration: v-t straight line.
Negative area below x-axis = displacement in opposite direction.

Frequently asked questions

Distance vs displacement?
Displacement is signed; distance is total magnitude.
Variable acceleration on v-t?
Curved v-t. Area still = displacement.