Question

solve h=vt-gt^2, for v

Answer 1

Answer:

  $v=\dfrac{h+gt^2}{t}$

Step-by-step explanation:

As with any "solve for" problem, you undo what has been done to v, in reverse order. In this equation v has been ...

• multiplied by t
• had gt^2 subtracted from the product

So, the first step is to undo the subtraction by adding gt^2 to the equation:

  h +gt^2 = vt

Now, we undo the multiplication by dividing by the coefficient of v.

  (h +gt^2)/t = v

Answer 2

Making v the subject of formula is $v = \frac{h}{t} + gt$

In this exercise, you're required to solve for v in the mathematical (algebraic) expression by making it the subject of formula.

Given the following mathematical (algebraic) expression;

$h = vt - gt^2$

We would simplify the mathematical (algebraic) expression by moving the variables with v;

$vt = h + gt^2$

Next, we would divide both sides by t;

$v = \frac{h + gt^2}{t}$

Simplifying further, we have;

$v = \frac{h}{t} + gt$

Therefore, making v the subject of formula is $v = \frac{h}{t} + gt$

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