Question

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

Answer 1

The expression for v is as follows:

`v=(h+5t^2)/(t)\ or\ v=(h)/(t)+5t`

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=(h+5t^2)/(t)\\\\i.e.\\\\v=(h)/(t)+(5t^2)/(t)\\\\i.e.\\\\v=(h)/(t)+5t`

Answer 2

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.