Problem

$3$

$(30$ pts$)$: In the Coors factory down the street, a rotating robotic arm pushes a coors can along a guide rail in a factory machine. The guide rail's geometry forces the can to move along the path defined by r$=3+2$cos$(\backslash$theta $)$m$.$The arm is rotating at a constant angular velocity of $\backslash$theta $=0\mathrm{.}5$ rads.What is the speed $($v$)$of the can, and what are the horizontal and vertical components of the can's acceleration $($axand ay$)$when $\backslash$theta $=60\backslash$deg $?$