QUESTION $2$

Consider the sprinkler system shown below. The sprinkler is rotating at $=2\mathrm{.}5ra\frac{d}{s}$ in the

direction shown but is accelerating at $=0\mathrm{.}5ra\frac{d}{s^2}.$ Focusing on Figure $2$:

$($a$)$ Find the velocity of Point $A$ in vector form within the coordinate system shown.

$($b$)$ Find the magnitude of the velocity of Point A$.$

$($c$)$ Find the acceleration of Point $A$ in vector form within the coordinate system shown.

$($d$)$ Find the magnitude of the acceleration of Point $A.$

$($e$)$ If the angle $$ was increased while all other parameters remain the same, how would

the magnitude of velocity and acceleration of Point A change? Why?

Figure $1$: Isometric image of sprinkler

Figure $2$: Top view of sprinkler system