If I have a base map of the earth, and want to draw a vector of a flight path
for example from LA to NYC, does OpenLayers have a way to draw this path as
a 'curved' path to match the arc shape of the path vs a straight linestring
path ? Or would I need to calculate this myself client side and hand build a
linestring with a bunch of interpolated points ?
A great-circle path is not a simple vector, so as far as I know, you will have to calculate the curve yourself. I am not aware of any inbuilt tools within OL that will do it for you (and if it did, the calculation is client-side).
Try here for some js code on doing it.
http://trac.osgeo.org/openlayers/wiki/GreatCircleAlgorithms

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