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📈 Reading Velocity-Time Graphs

Learn to read velocity-time graphs by connecting height, slope, and signed area to velocity, acceleration, and displacement.

lessons

~10 min

to learn

🔬 Science

subject

Adults

level

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What you’ll learn

Read the axesRead velocity and identify constant velocity from a velocity-time graph.Axis height gives signed velocity, and a horizontal segment means that velocity stays constant.
Use the slopeUse slope and tangent slope to interpret acceleration.Straight-line slope gives acceleration, while changing curvature means acceleration changes.
Use the areaUse signed area to find displacement and distinguish it from distance.Break regions into shapes, keep their signs, and connect graph height, slope, and area.
Solve and checkCalculate piecewise displacement and check answers with units and limiting cases.Geometric decomposition and dimensional checks expose missing regions, wrong signs, and wrong graph operations.

Questions this course answers

What does the slope of a velocity-time graph represent?

Slope is change in velocity divided by change in time, which is acceleration.

What does signed area under a velocity-time graph represent?

Velocity multiplied by time gives displacement, with below-zero regions contributing negatively.

What does a horizontal line above zero show?

The velocity stays at one positive value throughout that interval.

A graph crosses from positive velocity to negative velocity. What does that indicate?

The sign of velocity changes relative to the chosen axis.

Which units should a velocity-time slope have when velocity is in m/s and time is in s?

Dividing m/s by s gives m/s², the SI unit for acceleration.

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