The so-called "velocity-time" graph is actually a "speed-time" graph. At any point on it, the 'x'-coordinate is a time, and the 'y'-coordinate is the speed at that time.
'Velocity' is a speed AND a direction. Without a direction, you do not have a velocity, and these graphs never show the direction of the motion. It seems to me that it would be pretty tough to draw a graph that shows the direction of motion at every instant of time, so my take is that you'll never see a true "velocity-time" graph.
At best, it would need a second line on it, whose 'y'-coordinate referred to a second axis, calibrated in angle and representing the 'bearing' or 'heading' of the motion at each instant. The graph of uniform circular motion, for example, would have a straight horizontal line for speed, and a 'sawtooth' wave for direction.
A velocity-time graph measures acceleration by plotting velocity against time. It shows how an object's velocity changes over time, indicating constant velocity, acceleration, or deceleration. The graph can also demonstrate changes in direction when it crosses the time axis.
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