1. The problem statement, all variables and given/known data A particle P is free to slide on a smooth wire which has the form of a helix, with a position vector given by: r((t)) = a cosθ(t)i + a sinθ(t)j + bθ(t)k The particle is released from rest at the point (a, 0, 2∏b). Using energy conservation for conservative forces, or otherwise, show that the speed of P when it reaches the ground at (a, 0, 0) is: v = 2sqrt(∏bg) 2. Relevant equations All the equations of motion 3. The attempt at a solution I know that when you differentiate the position, you get velocity. So I did and got: v(θ(t))=(a(-sinθ(t)) + (cosθ(t))(1))i + (acosθ(t)) + (sinθ(t))(1))j + (b+θ(t))k from here I'm stuck. I let the components for i,j and k equal to one another but I don't know what to do with the results. Please any help would be greatly appreciated.