make  u the fubject of the formula : v^2= u^2+ 2fs

To make \( u \) the subject of the formula \( v^2 = u^2 + 2fs \), follow these steps:

1. Start with the given equation:
   \[
   v^2 = u^2 + 2fs
   \]

2. Subtract \( 2fs \) from both sides to isolate \( u^2 \) on one side:
   \[
   v^2 - 2fs = u^2
   \]

3. Take the square root of both sides to solve for \( u \):
   \[
   u = \pm \sqrt{v^2 - 2fs}
   \]

So, the subject of the formula \( u \) is:
\[ 
u = \pm \sqrt{v^2 - 2fs} 
\]

Do you want more details or have any questions?

Here are 5 numbered questions for you to ask:
1. How do you isolate variables in an equation?
2. What are the steps to solving quadratic equations?
3. Can you explain the properties of square roots?
4. How do you solve for a variable in a physics equation?
5. What are some common mistakes to avoid in algebraic manipulation?

**Tip:** Always check your work by plugging the solution back into the original equation to ensure it satisfies the equation.

Learn how to make u the subject of the formula v^2 = u^2 + 2fs with a step-by-step solution. This problem involves isolating variables in equations and using square roots to solve equations. Suitable for advanced high school students.

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