Question

Rearrange the formula s = vt + 16t2 for v.

Answer 1

`v=(s)/(t)-16t`

Explanation:

To rearrange the formula for v is to obtain the value of v in term of the other parameters.

The formula is
`s=vt+16t^(2)`

The first step is to subtract
`16t^(2)` in both members :

`s=vt+16t^(2) \\s-16t^(2)=vt+16t^(2)-16t^(2) \\s-16t^(2)=vt`

The second step is to divide by ''t'' in both members (We assume that t ≠ 0) :

`s-16t^(2)=vt`

`(s-16t^(2) )/(t)=(vt)/(t)`

`(s-16t^(2))/(t)=v`

The third step is to change the members between each other :

`(s-16t^(2))/(t)=v`

`v=(s-16t^(2))/(t)`

The final step is to solve the division at the member on the right :

`v=(s-16t^(2))/(t)`

`v=(s)/(t)-(16t^(2))/(t)`

`v=(s)/(t)-16t`

And the final expression is v in term of the parameters s and t.

Answer 2

s = vt + 16t^2
s -16t^2 = vt

s/t -16t = v