Answer:
Explanation:
xf = xita + vxitb + ½axtc.
xf is displacement , dimensional formula L .
Xi initial displacement , dimensional formula L
t is time , dimensional formula T ,
vxi is velocity , dimensional formula LT⁻¹
ax is acceleration , dimensional formula = LT⁻²
xf = xi t a + vxi t b + ½ ax t c.
L = aLT + b LT⁻¹ T + c LT⁻² T
From the law of uniformity , dimensional formula of each term of RHS must be equal to term on LHS
aLT = L
a = T⁻¹
b LT⁻¹ T = L
b = 1 ( constant )
c LT⁻² T = L
c = T
so a = T⁻¹ , b = constant and c = T .
