Question

Make v the subject of the formula in H=m(v²-u²)/2gx​

Answer 1

`v=\sqrt{(H* 2gx)/(m)+u^2}`

Explanation:

The given formula is :

`H=(m(v^2-u^2))/(2gx)`

We need to find the formula for v.

Cross multiplying the given formula.

`H* 2gx=m(v^2-u^2)`

Dividing both sides by m. So,

`(H* 2gx)/(m)=(m(v^2-u^2))/(m)\\\\(v^2-u^2)=(H* 2gx)/(m)`

Adding both sides by u².

`(v^2-u^2)+u^2=(H* 2gx)/(m)+u^2\\\\v^2=(H* 2gx)/(m)+u^2\\\\\text{So},\\\\v=\sqrt{(H* 2gx)/(m)+u^2}`

Hence, this is the required formula.