Answer :

Answer:

[tex]s=\dfrac{uv}{t}[/tex]

Step-by-step explanation:

To solve for 's' in terms of 't', 'u', and 'v', we'll start with the given equation and isolate 's'. We have:

[tex]u = \dfrac{1}{v}\cdot ts[/tex]

Multiply both sides by 'v' to eliminate the fraction:

[tex]\Longrightarrow u \cdot v = \dfrac{1}{v}\cdot ts \cdot v\\\\\\\\\Longrightarrow uv = ts[/tex]

Isolate 's' by dividing both sides by 't':

[tex]\Longrightarrow \dfrac{uv}{t} = \dfrac{ts}{t}\\\\\\\\\therefore \boxed{s=\dfrac{uv}{t}}[/tex]

Thus, the problem is solved.