Which of the following quantities have the dimensions of a speed?

Answer:

(1) and (3)

Explanation:

Speed has dimensions of:

m/s (meters per second)

While:

a (acceleration) has dimensions of

t (time) has dimensions of

Let's analyze each option:

(1)at

--> this has dimensions of speed

(2)at^2

--> this has dimensions of distance

(3) (2ax)^(1/2)

--> this has dimensions of speed

(4) ((2x)/a)^(1/2)

--> this has dimensions of time

So choices (1) and (3) are correct.