Question

The velocity v of a particle at a time t is given by v=at+b/t+c. Where a,b,c are constants . What are the dimensions of a,b & c ?

Answer 1

v = at + b/t + c

To add them all the terms should have same units

Therefore,
at = m/s
a (s) = m/s
a = m/s²
Dimension of a = [L T⁻²]

b/t = m/s
b/s = m/s
b = m
Dimension of b = [L]

c = m/s
Dimension of c = [L T⁻¹]

Answer 2

Answer:

a=$LT^{-2}$, B=L and c=T

Explanation:

i am inverting the equation for getting a better and proper explanation