I need to prove that the equations V = Vo+ at & x = xi +vit +1/2at2 can be put in a system of equations to get vf2 = vi2 +2ad. Please help!
2006-09-08 03:37:52 · 3 answers · asked by djibouti1989 1 in Science & Mathematics ➔ Physics
Okay, so first square both sides of the equation vf=vo+at. This will give you (vf)^2=(vo)^2+a^2*t^2+2voat. So now you are half way there. If you can show that a^2*t^2+2*vo*a*t=2*a*d you are done. Next, factor our 2a from a^2*t^2+2*vo*a*t which will give you: 2a*[a*t^2/2+vo*t]. Now notice that you are done if you can show that [a*t^2/2+vo*t] = d. But d is just the distance that you travel during the acceleration. To find d calculate xf-xi= a*t^2/2+vo*t. That is it.
2006-09-08 03:52:55 · answer #1 · answered by bruinfan 7 · 0⤊ 0⤋
Is d the same as x and is Vo the same as vi? You really don't make it easy for anyone to solve this, when you mix up the variables like this.
2006-09-08 10:45:46 · answer #2 · answered by Anonymous · 0⤊ 0⤋
THE PROOF IS HERE-
v = u + ft
v2= u2 + 2u. ft + f2t2 ( squaring )
= u2 + 2uf ( ut + 1/2 ft2 )
= u2 + 2ufs
2006-09-08 12:25:00 · answer #3 · answered by tinor 1 · 0⤊ 0⤋