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`

Step-by-step 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+(1)/(2) at^2`

2) Subtract the term Vot from both sides:


`d-V_0t= (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 = (2d)/(t^2) - (2V_0)/(t)`