Here the motion is described
in successive intervals of time.
In this type of problem the distance travelled is given for two successive intervals of time.
The method of solution is: Treat both sections from the starting point for the first interval, not from their individual starting points.
An example will illustrate this point
1993 Leaving Certificate
A particle moving in a straight line travels 30m,54m and 51m in successive intervals of 4,3,2s. Verify that the particle is moving with uniform acceleration.
Now solve two simultaneous
equations in two unknowns, u and f, to give: