lilli66
contestada

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 ?

Respuesta :

Answer: seconds

Explanation:

We have the following equation:

[tex]Dx=A.V[/tex]

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

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

[tex]m=A(m/s)[/tex]

Clearing [tex]A[/tex]:

[tex]A=\frac{m.s}{m}=s[/tex]

Hence [tex]A[/tex] is related to time, and its unit in this case is second.