It is not unusual for a student to confuse position-time graphs with velocity-time graphs. They know that moving with a constant velocity is represented on a position-time graph by a straight diagonal line. So they instantly begin looking for the same line on this graph. But don't be fooled! This is a velocity-time graph and the slope is the acceleration. A diagonal line with a constant slope on a velocity-time graph is a line with a constant acceleration (meaning that there is a velocity change).
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