A river police boat moving at $26\mathrm{.}0$ m$/$s approaches a no$-$wake buoy marker $97\mathrm{.}1$ m ahead. The pilot slows the boat with constant acceleration of $-3\mathrm{.}40$ m$/$s$2$ by reducing the throttle.

a$)$ Sketch a position vs$.$ time graph for the boat.

b$)$ Sketch a velocity vs$.$ time graph for the boat.

c$)$ What is the velocity of the boat when it reaches the buoy?

d$)$ How long does it take the boat to reach the buoy?