Question

Show that the expression s=ut+1/2at^2 is dimensionally correct.

Answer 1

s is distance so it's dimensions become L

Nd other side we have ut+1\2at^2

as 1\2 is a constant it will have dimensions and apply the dimensions to other quantities

on solving u will get L there also i,e ur LHS = RHS

thus the equation is dimensionally consistent





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Answer 2

Answer:

S is displacement

Dimension of displacement is L

Vi is velocity the dimension of the velocity is L/T

T is time dimension of the time T

A is acceleration dimension is L/TO

L=L/T*T +½ L/T² *T²

L=L

Length=length

Step-by-step explanation: