Question

If the change in position Dx is related to velocity v (with units of m/s) in the equation Dx=Av, the constant A has which dimension ?

Answer 1

Answer: seconds

Explanation:

We have the following equation:

$Dx=A.V$

Where $Dx$ has unit of meters ($m$) and $V$ has units of meters per second ($m/s$).

If we input these units in the equation, we will have:

$m=A(m/s)$

Clearing $A$:

$A=\frac{m.s}{m}=s$

Hence $A$ is related to time, and its unit in this case is second.