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# Velocity-time graphs

The velocity-time graph shows the time $t$ on the x-axis and velocity $\vecphy{v}$ on the y-axis. Similar to the displacement-time graph, the object is assumed to undergo linear motion with a defined positive direction.

Negative $v$ values would imply that the object is moving in the opposite direction.

The gradient of the graph gives the acceleration. Therefore, a horizontal line indicates that the object is moving at a constant velocity.

A negative gradient indicates that the velocity in the positive direction is decreasing.

The area between the graph and the line $v=0$ indicates the magnitude of displacement during the period.

If the graph crosses the t-axis and the area above is equal to the area below, the object has returned to its origin.