(ii) Equation for Position-time Relation:
Let us assume,
s = distance travelled by the object
t = time t
a = uniform acceleration.
∴ Distance travelled by the object is given by area enclosed with OABC in the graph.
∴ s = area OABC (which is a trapezium)
= (area of rectangle OADC) + (area of ∆ABD)
Substituting OA = u, OC = AD = t and BD = at (from equation 2)
(iii) Equation for Position–Velocity Relation: