Answer:
[tex]v=\frac{s}{t}-16t[/tex]
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 [tex]s=vt+16t^{2}[/tex]
The first step is to subtract [tex]16t^{2}[/tex] in both members :
[tex]s=vt+16t^{2} \\s-16t^{2}=vt+16t^{2}-16t^{2} \\s-16t^{2}=vt[/tex]
The second step is to divide by ''t'' in both members (We assume that t ≠ 0) :
[tex]s-16t^{2}=vt[/tex]
[tex]\frac{s-16t^{2} }{t}=\frac{vt}{t}[/tex]
[tex]\frac{s-16t^{2}}{t}=v[/tex]
The third step is to change the members between each other :
[tex]\frac{s-16t^{2}}{t}=v[/tex]
[tex]v=\frac{s-16t^{2}}{t}[/tex]
The final step is to solve the division at the member on the right :
[tex]v=\frac{s-16t^{2}}{t}[/tex]
[tex]v=\frac{s}{t}-\frac{16t^{2}}{t}[/tex]
[tex]v=\frac{s}{t}-16t[/tex]
And the final expression is v in term of the parameters s and t.
