Question

19. Which of the following quantities have the dimensions of the speed? (2)

A) at2 C) 2at 

B) a2t D) (2ax)1/2

 

Answer 1

Dimension of speed is $\text{m}^1\text{s}^{-1}.$

So, acceleration times time and square root of acceleration times distance output the same dimensions:

$$2at ,\space (2ax)^{1/2}=\sqrt{2ax}.$$