Problem $15\mathrm{.}161$ modifled

Pin $P$ is attached to the collar shown; the motion of the pin is guided by a slot cut in bar BD and by the collar that slides on rod $AE.$ Rod $AE$ rotates with a constant angular velocity of $5\mathrm{.}8ra\frac{d}{s}$ clockwise and the distance from $A$ to $P$ increases at a constant rate of $7\mathrm{.}9f\frac{t}{s}.$

Determine the velocity and the acceleration of pin $P$ with respect to rod $AE.$

$(vp)AE=,1+,J(f\frac{t}{s})$

$(op)AE=,1+,J(f\frac{t}{s^2})$

Determine the angular velocity and the angular acceleration of bar BD$.$

${}_{BD}=,k(ra\frac{d}{s})$

${}_{BD}=,k(ra\frac{d}{s^2})$

Determine the velocity and the acceleration of pin $P$ with respect to bar $BD.$

$($:$(vp{)}_{BD}=,1+,f\frac{t}{s}$