I believe it's safer to swallow with head level or tilted forward because tilting back tends to disrupt the epiglottis' seal over the trachea, potentially allowing aspiration of liquids and/or solids (which leads to pneumonia). Forward tilt aids the epiglottis in making a good seal of the windpipe!

http://psychology.wikia.com/wiki/Swallowing

If you look at the following animation, you can see that by tilting head back, the larynx flap, just below the epiglottis, may protrude and guide the first part of the food into the trachea....

http://hopkins-gi.org/multimedia/database/intro_250_Swallow.swf

What I do is sip some water, place or fling the pill(s) to the back, sip some more water, tilt head slightly back to let water flow there, then go level and swallow several times. If I can sense a pill still there, I sip more water and swallow some more.




Age 67 1/2
Ventral Tongue SCC T2N0M0G1 10/05
Anterior Tongue SCC T2N0M0G2 6/08
Base of Tongue SCC T2N0M0G2 12/08
Three partial glossectomy (10/05,11/05,6/08), PEG, 37 XRT 66.6 Gy 1/06
Neck dissection, trach, PEG & forearm free flap (6/08)
Total glossectomy, trach, PEG & thigh free flap (12/08)
On August 21, 2010 at 9:20 am, Pete went off to play with the ratties in the sky.