Name

$(35$ points$)$ Block B slide along bar $OA$ with a constant speed $v=5\frac{m}{s}(s=0m,$ when $t=0sec)$ while the bar is rotating counterclockwise with constant speed $($theta$\_$dot$)$ of $1\mathrm{.}20ra\frac{d}{s}($ theta $=0,$ when $t=0sec).$ Determine the velocity and acceleration vector of block B at $t=2sec.$

$2(35$ points$)$ The flight path of a jet aircraft as $y=x^2$ and the position in the $y-$axis is $y=$

$4t^4,$ where $t$ is the time after take$-$off, measured in seconds, and $x$ and $y$ are given in meters. At $t=10s$

a$)$ Determine the velocity vector of the airplane, and

b$)$ Determine the acceleration of the airplane.