Aparticle moves on a coordinate line with acceleration star tfraction d squared s over dt squared end fraction equals 60 start root t end root minus start fraction 21 over start root t end root end fraction , subject to the conditions that start fraction ds over dt end fraction equals 8 and sequals16 when t equals 1. find
a) the velocity v equals start fraction ds over dt endfraction in terms of t
b) the position s in terms of t.