How Do You Correctly Rearrange the Equation d=vt+at^2/2 to Solve for a?

  • Thread starter Thread starter xCanx
  • Start date Start date
  • Tags Tags
    Formulas
AI Thread Summary
To rearrange the equation d = vt + (at^2)/2 to solve for acceleration (a), the correct approach involves isolating a on one side. The initial attempt of 2d - vt/t^2 = a is incorrect due to miscalculations. It is essential to carefully apply algebraic manipulation and multiplication rules. Step-by-step guidance is recommended to identify and correct mistakes. Properly rearranging the equation will yield the correct expression for acceleration.
xCanx
Messages
44
Reaction score
0
Ok this is a veryyyyyyyy simple question.

d= vt + at^2/2 (motion equation)

I want to find a (acceleration)

2d -vt/t^2 = a

is this the right way?
 
Physics news on Phys.org
Not really. If you list the steps you use we can identify where you went wrong.
 
You are close, but you have some silly mistakes. Be careful when you multiply.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top