An introduction to distance-time, velocity-time and acceleration-time graphs. Calculation of distance and acceleration from v-t graphs.. 1. Displacement as a function of Time Graphs Sometimes called d-t graphs, or position – time graphs. 2. Velocity as a functionof Time Graphs Sometimes called v-t graphs. Displacement as a function of Time Graphs This type of graph is based on the most basic things we need to know about the motion of an object (position and time).

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Case 3: Velocity-time graphs with increasing acceleration. W. When the acceleration is increasing with time, the velocity-time graph will be a curve as predicted from the equation: v = u + at. Since u = 0. v= at. Since acceleration is a function of time, the velocity-time graph will be a curve. Note: Since the acceleration continuously.. For the velocity-time graph, the y-axis is velocity and the x-axis is time, so slope = Δv/Δt. But the definition of acceleration = Δv/Δt, so acceleration is the slope of the v-t graph. I am very careful to emphasize that slope of v-t is the value of a in order to avoid common mistakes reversing the two or drawing them the same.