Problem $3($planar particle kimematics, tangentialnormal$)$

A small particle starts from rest at point A and is forced to travel along horizontal path ABCD $($no

gravitational effects$).$ During the entire motion, the magnitude of the tangential component of

acceleration at$=2t^2$ ft$/$sec$^2,$ where $t$ is in seconds. Find the acceleration and velocity of the particle

when it is located at points $B$ and $C.$