Question

solve for t in terms of u and v.
$v = \frac{u}{t}$
$t = \square$

Explanation:

Step1: Multiply both sides by \( t \)

To eliminate the denominator \( t \) on the right - hand side, we multiply both sides of the equation \( v=\frac{u}{t} \) by \( t \). This gives us \( v\times t=\frac{u}{t}\times t \), and simplifying the right - hand side (since \( \frac{u}{t}\times t = u \) for \( t
eq0 \)), we get \( vt = u \).

Step2: Divide both sides by \( v \)

Now, to solve for \( t \), we divide both sides of the equation \( vt = u \) by \( v \) (assuming \( v
eq0 \)). So, \( \frac{vt}{v}=\frac{u}{v} \), and simplifying the left - hand side, we obtain \( t = \frac{u}{v} \).

Answer:

\( \frac{u}{v} \)