Velocity-time graph to compute instantaneous acceleration, average velocity from a velocity graph.
Автор: Zak's Lab
Загружено: 2021-10-14
Просмотров: 3332
We are given a velocity-time graph and we are asked for the instantaneous acceleration at a point in time and the average velocity over a time interval.
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To compute the instantaneous acceleration from a v-t graph, we need the slope at the moment of interest. In our graph, this is the slope of a line segment that happens to connect two integer points on the grid. We compute rise over run between points on a v-t graph and get the instantaneous acceleration.
To compute the average velocity from a velocity graph, we need to compute v=delta(x)/delta(t)=displacement/time. To get the displacement, we find the area bounded by the graph, and we can compute the area of the v-t graph using geometry formulas for rectangles and trapezoids. We compute the area to get the displacement, then we divide by the width of the time interval to get the average velocity on the given interval.
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