Answer:
[tex]t=\frac{x_f-x_i}{v}[/tex]
Explanation:
Starting from the equation:
[tex]v=\frac{x_f-x_i}{t}[/tex]
First of all, let's multiply by t on both sides:
[tex]v\cdot t = \frac{x_f-x_i}{t}\cdot t \\vt = x_f - x_i[/tex]
And then, let's divide by v on both sides:
[tex]\frac{vt}{v}=\frac{x_f-x_i}{v}\\t=\frac{x_f-x_i}{v}[/tex]
So, finally
[tex]t=\frac{x_f-x_i}{v}[/tex]
