Question

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

Answer 1

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

s/t -16t = v

Answer 2

Answer:

$v=\frac{s}{t}-16t$

Step-by-step 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) :

$s-16t^{2}=vt$

$\frac{s-16t^{2} }{t}=\frac{vt}{t}$

$\frac{s-16t^{2}}{t}=v$

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

$\frac{s-16t^{2}}{t}=v$

$v=\frac{s-16t^{2}}{t}$

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

$v=\frac{s-16t^{2}}{t}$

$v=\frac{s}{t}-\frac{16t^{2}}{t}$

$v=\frac{s}{t}-16t$

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