Distance to Speed graphs

We can obtain a speed vs time graph from a distance vs time graph. The gradient of the distance vs time graph represents the speed of the object in question.

Not always will the distance-time graph be a straight line. Often, in real life situations, the disatnce-time graph is curved and the slope must be calculated frequently at small time time intervals. Click to see an example

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The gradient is constant over the 3 second time period. The speed is therfore constant over the same time period at  (20/3)  = 6.67km/hr The gradient over this period of time is 50/1 = 50km/hr