Question

Check the correctness of the following equation.

1. v = u + at

2. s = ut + 1/2 at²

Answer 1

Given equation is v = u + at , Writing the dimensional formula of each of them we get

[LT^-1] = [LT^-1] + [LT²][T]

[LT^-1] = [LT^-1] + [LT^-1]

All the terms have the same dimensional formula and hence the equation is dimensionally correct.

2. Given equation is s = ut + 1/2 at²

Writing the dimensional formula of each of them we get,

[L] = [LT^-1][T] + [LT^-2][T²]

[L] = [L] + [L]

All the terms have the same dimensional formula and hence the equation is dimensionally correct.