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.
