At the instant shown in $($Eigure $1),$ the frame of the brush cutter is traveling forward in the $x$ direction with a constant velocity of $1\frac{m}{s},$ and the cab is rotating about the vertical axis with an angular velocity of ${}_1=0\mathrm{.}4ra\frac{d}{s},$ which is increasing at ${}_1^{}=0\mathrm{.}4ra\frac{d}{s^2}.$ At the same instant the boom $AB$ has an angular velocity of ${}^{}=0\mathrm{.}8ra\frac{d}{s},$ which is increasing at ${}^{}=0\mathrm{.}85ra\frac{d}{s^2}.$

Determine the $x,y,$ and $z$ components of the velocity of point $B$ at the connection to the mower at this instant.

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

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Part B

Determine the $x,y,$ and $z$ components of the acceleration of point $B$ at the connection to the mower at this instant. Express your answers in meters per square second using three significant figures separated by commas.

$(a_B{)}_x,(a_B{)}_y,(a_B{)}_z=$

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Figure

$1$ of $1$