Question

Arrange the equations in the correct sequence to rewrite the formula for displacement, , to find a. In this formula, d is displacement, v0 is initial velocity, a is acceleration, and t is time.

Answer 1

Answer: 

$a=2[d-V_0t]/t^2=2d/t^2-2v_0/t$

Explanation:


Since, you have not included the formula, I will work here with the formula for constant accelaration motion that relates the four variables: displacement (d), Vo (initial velocity), a (acceleration) and t (time).

1) displacement formula:

$d= V_0t+\frac{1}{2} at^2$

2) Subtract the term Vot from both sides:

$d-V_0t= \frac{1}{2} at^2$

3) Multiply both sides by 2:

$2d -2V_0t=at^2$

4) Divide both sides by t²

$2[d-V_0t]/t^2=a$

So, you have obtainded:

a = 2[d - Vo×t] / t²

Yet, you can arrange it in different ways. For example, you might separate into two terms:

$a = \frac{2d}{t^2} - \frac{2V_0}{t}$