HW$05-$#$3$ Guide

A vertical slotted guide moves horizontally at a constant velocity $V_x=x^{}=15i\frac{n}{sec}.$ Pin $P$ is currently at $x=6$ inches and moves along with the guide as confined by the parabolic slot $($equation given in drawing$).$

A$.$ Draw a kinematic $($motion$)$ diagram of the pin $P$ include:

the Cartesian $($x$-$y$)$ and tangent$-$normal $($t$-$n$)$ coordinate systems and

the velocity and acceleration of $P$ in $t-n$ vector components

B$.$ Find:

The magnitude of the total velocity of $P$

The magnitude of the $v_y($or $y^{})$ of $P$

The magnitude of the $a_y($or $y^{})$ of $P$