1. The problem statement, all variables and given/known data A position vector of a particle at a time t is r=icost +jsint +kt ; show the speed and the magnitude of the acceleration is constant. Describe the motion. 2. Relevant equations v = dr/dt a = dv/dt 3. The attempt at a solution Could someone let me know if I am doing this correctly? I derived the position to find the velocity: v = dr/dt = -isint +jcost + 1k Then derived the velocity : a = dv/dt = -icost -jsint Then found the magnitude of the acceleration: mag(a) = sqrt ( cos^2(t) + sin^2(t)) = 1 , which is constant. Motion- increasing oscillation? How would I show this? Thanks!