(a) Starting from the three standard equations of uniformly accelerated motion, derive algebraically the relation s=2u+vt.
(b) A runner crosses the 50m mark on a straight track with a speed of 6.0ms−1. He maintains a uniform acceleration for the next 4.0s and reaches the 150m mark.
(i) Calculate his acceleration during this interval.
(ii) Determine his speed at the end of the 4.0s interval.
(iii) Re-check the value obtained in part (ii) by applying an appropriate velocity–time relation, and comment on the consistency of your answers.