Derivation of the Motion Equation

| Tt = mgH1 + 1/2(mVo2) | Ttop = Tbottom |
| Tb = mgH2 + 1/2(mV2) | Energy is consereved |
| mgH1 = 1/2(mV2) | H1 = 0;Vo2 = 0 (car at rest) |
| 2mgH1 = mV2 | Multiply both sides by 2 |
| 2gH1 = V2 | Add Vo2;now equation works when the car is moving at H1 |
| Vf2 = Vo2 + 2g(H2 - H1) | (H2 - H1) = (X2 - X1) |
| g = a = (accel. of the object) |
Vf2 = Vo2 + 2a(X2 - X1)
HOME