How do you solve d=vt+1÷2at2 for a

Question

I have trouble  with isolating the variable a in the equation.  Will you please help me out? 

Answer 1

d = vt + ½at²

 

Use PEMDAS to follow the order of operations on a.  Here a is...

 

...multiplied by t²

 

...then divided by 2

 

...then added to vt

 

 

We undo the steps in reverse order to solve for a:

 

1. subtract vt

 

2. multiply by 2

 

3. divide by t²

 

 

Solving for a:

 

d - vt = at²/2

 

2(d - vt) = at²

 

2(d - vt)/t² = a