Question

H=vt-5t^2, solve for v

Answer 1

The equation given in the question is

H = vt - 5t^2
H - vt = - 5t^2
vt = H + 5t^2
v = (H + 5t^2)/t

I hope that this is the answer that you were looking for and the answer has actually come to your desired help. I also hope that the procedure is clear enough for you to understand.

Answer 2

Answer:

The expression for v is as follows:

             $v=\dfrac{h+5t^2}{t}\ or\ v=\dfrac{h}{t}+5t$

Step-by-step explanation:

We are given a expression that relates three variables v,t and h as follows:

                  $h=vt-5t^2$

We are asked to solve for v i.e. we are asked to represent v in terms of other two variables.

We first add $5t^2$ on both the sides of the equation to get:

            $h+5t^2=vt-5t^2+5t^2\\\\i.e.\\\\vt=h+5t^2$

Now, on dividing both side of the equation by t we get:

       $v=\dfrac{h+5t^2}{t}\\\\i.e.\\\\v=\dfrac{h}{t}+\dfrac{5t^2}{t}\\\\i.e.\\\\v=\dfrac{h}{t}+5t$