https://file.aiquickdraw.com/mathbot/file/1727186084102a3499jml.jpg

The equation given is:

\[
s = -\frac{1}{v}tu
\]

We need to solve for \( u \) in terms of \( s \), \( t \), and \( v \).

### Step-by-step solution:

1. Start with the equation:

\[
s = -\frac{1}{v}tu
\]

2. Multiply both sides of the equation by \(-1\) to eliminate the negative sign:

\[
-s = \frac{1}{v}tu
\]

3. Now, multiply both sides of the equation by \( v \) to get rid of the fraction:

\[
-vs = tu
\]

4. Finally, divide both sides by \( t \) to isolate \( u \):

\[
u = \frac{-vs}{t}
\]

So, the solution for \( u \) is:

\[
u = \frac{-vs}{t}
\]

---

Would you like more details on this solution or any related questions?

Here are 5 related questions you could explore:
1. How would the equation change if the fraction was positive instead of negative?
2. Can you solve for \( t \) in terms of \( u \), \( s \), and \( v \)?
3. What happens if \( t = 0 \)? Is there still a solution for \( u \)?
4. How does this formula change if you need to solve for \( v \) instead?
5. Can you check the units of each variable to verify dimensional consistency?

**Tip:** Always check for potential division by zero when solving for variables, especially when dealing with fractions!

Solve for u in terms of s, t, and v, given the equation s = - (1/v) * t * u.

Learn how to solve the algebraic equation s = -(1/v) * t * u for the variable u in terms of s, t, and v. This solution covers key algebra concepts such as isolating variables and rearranging equations. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation