Question

Make m the subject in f=mx-myt
Make u the subject in a=vu-t
Make u the subject in v²=u²+2as.
Note: make it to be understandable

Answer 1

Here are the rearrangements with simple step-by-step explanations.

1) Make m the subject of f = m x − m y t
- Factor m on the right: f = m(x − y t)
- Divide both sides by (x − y t): m = f / (x − y t)
- Requirement: x − y t ≠ 0 (otherwise division is not allowed).

2) Make u the subject of a = v u − t
- Add t to both sides: a + t = v u
- Divide both sides by v: u = (a + t) / v
- Requirement: v ≠ 0.

3) Make u the subject of v² = u² + 2 a s
- Subtract 2 a s from both sides: v² − 2 a s = u²
- Take square roots: u = ±√(v² − 2 a s)
- Requirement: v² − 2 a s ≥ 0 for real u. Use the + or − sign depending on which physical/ mathematical solution is needed.