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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.

 The graph shows a vehicle accelerating and then driving at a steady pace before stopping at the destination and then returning to the point of origin.