Video: Changing the Subject of a Formula

The final velocity of an object with uniform acceleration can be calculated using the formula 𝑣 = 𝑒 + π‘Žπ‘‘. Make 𝑑 the subject.

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Video Transcript

The final velocity of an object with uniform acceleration can be calculated using the formula 𝑣 equals 𝑒 plus π‘Žπ‘‘. Make 𝑑 the subject.

In order to make any variable the subject of a formula, we need to rearrange the formula so that that variable or letter is on its own. As we want to make 𝑑 the subject, we begin by subtracting 𝑒 from both sides of the equation. On the left-hand side, we’re left with 𝑣 minus 𝑒. And on the right-hand side, we’re left with π‘Žπ‘‘ as the 𝑒s cancel.

Our second step is to divide both sides of this new equation by π‘Ž. The left-hand side of the equation becomes 𝑣 minus 𝑒 divided by π‘Ž. On the right-hand side, π‘Žπ‘‘ divided by π‘Ž is 𝑑 as the π‘Žs cancel.

We can therefore say that rearranging the formula 𝑣 equals 𝑒 plus π‘Žπ‘‘ to make 𝑑 the subject gives us 𝑣 minus 𝑒 divided by π‘Ž.

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