Question

using the graphical method derive the equation for position time relation

Answer 1

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Answer 2

Answer: Derivation of position-time relation by graphical methodVelocity – Time Graph

A body starts with some initial non-zero velocity at A and goes to B  with constant acceleration a

Area under the graph gives Displacement =A(ΔABD)+A(□OADC)=(12AD×BD)+OA×OC — (eq 1)

OA = u , OC = t and BD = at

Substituting in (eq 1) we get s= ut+12at2