The position of a particle at time, t, during the time interval t = 0 and t = 1, is given by the co-ordinates

$X = t - \frac{t^{3}}{3}, Y = t^{2}, Z = t + \frac{t^{3}}{3}$

Find the following at time, t:

1) Velocity of the particle
2) speed
3)distance traveled from t=0 to t=1