(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the position vecterrof a particle at a time t is

r=icos t +jsin t +kt show that the magnitudes of the velocity and acceleration vectors are constant. Describe the motion

3. The attempt at a solution

velocity =i(-sint) +j(cost) +k

magnitude is [tex]\sqrt{(-sint)^2 + (cost)^2 + 1}[/tex] = [tex]\sqrt{2}[/tex]

acceleration =i(-cos t) -j(sin t)

magnitude is [tex]\sqrt{(-sint)^2 + (-cost)^2 }[/tex] = [tex]\sqrt{1}[/tex] = 1

but im not sure how to discribe the motion, at first i was thinking of an object moving at a constant velocity of [tex]\sqrt{2}[/tex] and to move at a constant velocity it acceleration isn't changing so should that not mean the acceleration is 0 instead of 1?

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# Velocity and acceleration problem

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