distance-time graph

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A graph that shows displacement plotted against time for a particle moving in a straight line. Let x(t) be the displacement of the particle at time t. The distance-time graph is the graph y=x(t), where the t-axis is horizontal and the y-axis is vertical with the positive direction upwards. The gradient at any point is equal to the velocity of the particle at that time. (Here a common convention has been followed, in which the unit vector i in the positive direction along the line has been suppressed. The displacement of the particle is in fact a vector quantity equal to x(t)i, and the velocity of the particle is a vector quantity equal to x(t)i.)

Subjects: Mathematics.

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