Constant speed yet non constant acceleration

<Slyver> If the speed of an object moving along a smooth curve is constant, than its acceleration might not be constant. Since acceleration is a change in velocity and velocity is a change in speed or direction, turning would result in a change in acceleration. Correct?
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<somiaj> Slyver: correct, acceleration can be decomposed into the tangential compoenent (that along the direction of motion) and the normal compoenent (That perpendicular to the direction of motion). The tangenttial compoenent speeds up/slows down the object, the normal component turns it
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<somiaj> Slyver: though you may want to be careful, circular motion as a constant magnitude of acceleration, but the direction is constnatally changing, such as (Rcos(kt), Rsin(kt)) in 2D
<somiaj> Slyver: direction of acceleration is changing