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Uniformly Accelerated Motion

The graphical representation for movement along straight line includes plotting distance against time is always regarded as positive. The curve of this graph never reduces take for instance the speedometer and odometer in a vehicle. Since the displacement is termed as the vector quantity, it can be graphed against the period if we confine the motion of a line and then use the positive and the negative signs in specifying the direction. However, it is a conventional practice plotting displacement along straight line against time with the help of a scheme. Such graphical representation along the x-axis may be positive or negative. The graph can either be a plus and get more plus or negative and get more minus. In the two cases, the curve would be a positive slope and the object will be a positive velocity. Additionally, the graph might be positive, have less positive and or a minus, and have more minus. In the two cases, the curve would have a minus slope and the object will be a negative velocity. The instantaneous velocity of any given object at any given time will be the displacement slope against the time graph. Therefore, it can either be +ve, -ve, or even zero. The instantaneous acceleration of the object at a given time will be the gradient of the velocity against the time graph at that given time. For the constant motion and velocity along the x-axis, the x graph against t graph is represented as the titled straight line. For the constant motion and its acceleration, the v against the t graph is represented as a straight line (Bueche and Eugene, 134).
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