Question

S = t(u + 1/2 At) make A the subject.​

Answer 1

To make
`\displaystyle\sf A` the subject in the equation
`\displaystyle\sf S = t(u + (1)/(2) At)`, we can follow these steps:

1. Distribute
`\displaystyle\sf t` to
`\displaystyle\sf u` and
`\displaystyle\sf (1)/(2) At`:

`\displaystyle\sf S = tu + (1)/(2) At^2`

2. Move
`\displaystyle\sf tu` to the right side of the equation:

`\displaystyle\sf S - tu = (1)/(2) At^2`

3. Multiply both sides of the equation by
`\displaystyle\sf (2)/(t^2)` to isolate
`\displaystyle\sf A`:

`\displaystyle\sf A = (2(S - tu))/(t^2)`

Therefore, the equation
`\displaystyle\sf S = t(u + (1)/(2) At)` can be rewritten as
`\displaystyle\sf A = (2(S - tu))/(t^2)` with
`\displaystyle\sf A` as the subject.