Mathematics 10 — Exercise Review · Q5

Full question

The maximum height is h = v²/(2g). Make v the subject.

Step-by-step solution

1. Multiply both sides by 2g.

   $$2\times g\times h=v^2$$

2. Take square roots. For upward launch speed use the nonnegative root; as a signed algebraic variable both signs are possible.

   $$v=\sqrt{2}\times \sqrt{g\times h}$$

Answer

The final answer is shown below.