why is acceleration time graph curved
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The primary difference between this curve and those on the previous graph is that this curve actually curves. The relation between position and time is quadratic when the acceleration is constant and therefore this curve is a parabola . (The variable of a quadratic function is raised no higher than the second power.)
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Curved lines' on a distance time graph indicate that the speed is changing. The object is either getting faster = 'accelerating' or slowing down = 'decelerating'. You can see that the distanced moved through each second is changing.
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