Chapter 10, Problem 3P

The ladder of a fire truck can be elevated (increase of angle $\varphi$ ), rotated about the : axis (increase of angle ?), and extended (increase of r). Initially the ladder rests on the truck ( $\varphi$ , 0, ?=0, and r = 8m). Then the ladder is moved to a new position by raising the ladder at a rate of 5 deg/s, rotating at a rate of 8 deg/s, and extending the ladder at a rate of 0.6 m/s. Determine and plot the position of the tip of the ladder for 10s.