Question

How do you solve for d in $v=\dfrac{d}{t}$ ?

Answer 1

Hint: To solve for d in the given expression i.e. $v=\dfrac{d}{t}$, we have to write “d” in terms of “v” and “t”. This means “d” is written on one side of the equation and “v” and “t” will be written on the other side of the equation. To make this happen, we are going to cross multiply the given equation.

Complete step by step answer:
The equation given in the above problem is as follows:
$v=\dfrac{d}{t}$…….. Eq. (1)
Now, to solve for “d”, we have to write “d” in terms of “v” and “t” so that when we put the value of “v” and “t”, we will get the value of “d”.
To get “d” in terms of “v” and “t”, we are going to cross multiply eq. (1).
Cross multiplying eq. (1) we get,
$v\left( t \right)=d$
Now, as you can see that we have got “d” on one side of the equation and “v” and “t” on the other side of the equation.

Hence, we can solve “d” by using the following equation form:
$v\left( t \right)=d$

Note: The mistake that could be possible in this problem is the calculation mistake like while cross multiplying you might get expression like below:
$d=\dfrac{v}{t}$
To avoid such mistakes, instead of cross multiplication you can multiply “t” on both sides of eq. (1) to get “d” in terms of “v” and “t”.
Multiplying “t” on both sides of eq. (1) will give us:
$v\left( t \right)=\dfrac{d}{t}\left( t \right)$
In the above equation, “t” will be cancelled out from the numerator and denominator in the R.H.S of the above equation and the remaining equation will look as follows:
$v\left( t \right)=d$