How Do You Solve for 'a' in the Equation s = v0t + .5at^2?

  • Thread starter Thread starter BuhRock
  • Start date Start date
  • Tags Tags
    Specific Variable
AI Thread Summary
To solve for 'a' in the equation s = v0t + 0.5at^2, one must first isolate the term involving 'a'. The correct approach involves reversing the operations applied to 'a', starting with the multiplication by 0.5 and the factor of t^2. It's essential to apply any mathematical operations uniformly to both sides of the equation to maintain equality. Dividing only one term on the right side while altering the left side leads to an incorrect solution. Following these steps will yield the correct expression for 'a'.
BuhRock
Messages
33
Reaction score
0
1. s = v0t + .5at^2 , solve for a



2. I don't know any



3. I don't know where to begin. I was thinking that you divide .5 from a to make it s/.5 = v0(t) + at^2.
 
Physics news on Phys.org
Look how "a" is used:

s = v0t + .5at^2 , solve for a.

See where it is. What is the first thing done to a? What is the next thing done to a? What else has been done to "a"? Take in reverse order, and undo each of those steps.

Initially, a is just a. See that the first thing done was (0.5t^2) factor was applied to a. What was done next? Anything else? Just reverse the whole process, and do this to BOTH sides of the equation.
 
BuhRock said:
1. s = v0t + .5at^2 , solve for a



2. I don't know any



3. I don't know where to begin. I was thinking that you divide .5 from a to make it s/.5 = v0(t) + at^2.
You divided the left side by .5, but you only divided one term on the right by .5. With operations like division and multiplication, you have to apply them to both sides, not just a single term on one side.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Back
Top