At a given instant, rodBD is rotating about the $x$ axis

with an angular velocity ${}_{BD}=2ra\frac{d}{s}$ and an angular

acceleration ${}_{BD}=5ra\frac{d}{s^2}.$ Also, when $=45$ link

$AC$ is rotating at ${}^{}=3\mathrm{.}5ra\frac{d}{s}$ and ${}^{}=2ra\frac{d}{s^2}$ as

shown in $($Figure $1).$ Assume $AC=7\mathrm{.}0ft.$

Part A

Determine the $x,y,$ and $z$ components of the velocity of point $A$ on the link at this instant.

Express your answers in feet per second using three significant figures separated by commas.

$(v_A{)}_x,(v_A{)}_y,(v_A{)}_z=,f\frac{t}{s}$

Part B

Determine the $x,y,$ and $z$ components of the acceleration of point $A$ on the link at this instant.

Express your answers in feet per square second using three significant figures separated by commas.

$(a_A{)}_x,(a_A{)}_y,(a_A{)}_z=,f\frac{t}{s^2}$

Figure