1. [v]  provide physical relief, as from pain; "This pill will relieve your headaches"
2. [v]  satisfy (thirst); "The cold water quenched his thirst"
3. [v]  cause to be more favorably inclined; gain the good will of; "She managed to mollify her angry boss"

ASSUAGE is a 7 letter word that starts with A.

1. \As*suage"\, v. t. [imp. & p. p. {Assuaged}; p. pr. &
   vb. n. {Assuaging}.] [OE. asuagen, aswagen, OF. asoagier,
   asuagier, fr. assouagier, fr. L. ad + suavis sweet. See
   {Sweet}.]
   To soften, in a figurative sense; to allay, mitigate, ease,
   or lessen, as heat, pain, or grief; to appease or pacify, as
   passion or tumult; to satisfy, as appetite or desire.
         Refreshing winds the summer's heat assuage. --Addison.
         To assuage the sorrows of a desolate old man --Burke.
         The fount at which the panting mind assuages Her thirst
         of knowledge.                            --Byron.
   Syn: To alleviate; mitigate; appease; soothe; calm;
        tranquilize; relieve. See {Alleviate}.
   

2. \As*suage"\, v. i.
   To abate or subside. [Archaic] ``The waters assuaged.''
   --Gen. vii. 1.
         The plague being come to a crisis, its fury began to
         assuage.                                 --De Foe.