Make s the subject of: v^2= u^2+2as

The aim of this question is to algebraically manipulate the equation to end up with an equation with s on its own, on one side, making it the subject of the equation.We will start by looking at the terms in the equation that are independent of s, this meaning that the variable isn't being multiplied or divided by 's'. In this equation we can see that both v^2 and u^2 are independent of s. So, as v^2 is already on the other side of 's', i.e. it is on the Left Hand Side, we shall start by subtracting u^2 from both sides of the equation. On the Left Hand Side, this leaves us with v^2 -u^2. On the Right Hand Side, we get u^2+2as-u^2, which leaves us with 2as, as the u^2 terms cancel out. Finally, to isolate s, we shall divide both sided of the equation by 2a, which, on the right hand side will leave us with 2as/2a = s, as 2a/2a=1. And dividing the left hand side by 2a will give us: (v^2 - u^2)/2a. Which means our final equation, with s as its subject will be: s= (v^2 - u^2)/2a.

Answered by Divya D. Maths tutor

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