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.
v = dr/dt
a = dv/dt
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?