Question

if x= a+bt+ct² where X is in metres and t is in second what Is the dimensional formula of b and c

Answer 1

In an equation all the terms should have same units.

a = bt = ct² = metres

b (s) = m
b = m/s
Dimensional formula of b = [LT⁻¹] ………(1)

c (s)² = m
c = m/s²
Dimensional formula of c = [LT⁻²] ………(2)