Do you know how to differenciate and integrate?
If you differenciate a distance-time curve, you get a velocity-time curve.
If you differenciate a velocity-time curve, you get an acceleration-time curve.
The other way round;
If you integrate an acceleration-time curve, you get a velocity-time curve.
If you integrate a velocity-time curve, you get a distance-time curve.
All these processes are with respect to time.
[differenciating a curve with respect is plotting its gradient against the time. The rate of change of distance is speed. Plotting the gradient of distance against time gives the velocity-time graph. So, if you have a distance-time graph with gradient 2 everywhere, you will have a velocity-time graph as a straight horizontal line with intercept at velocity=2. The same goes for acceleration if you have a velocity-time graph with gradient 2 throughout]
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