(adsbygoogle = window.adsbygoogle || []).push({}); 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!

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# Homework Help: Motion of a particle given position vector.

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