MATLAB

The ladder of a fire truck can be elevated (increase of angle phi), rotated about the z axis (increase of angle theta), and extended (increase of r). Initially the ladder rest on the truck, phi = 0, theta = 0, r = 8.25 m. The ladder is moved to position by raising the ladder at a range of phi' = 5.00 deg/s, rotating of theta' = 7.50 deg/s, and extending the ladder at a rate of r' = 0.50 m/s. List all the necessary equations/expressions that are needed to solve the program. Determine and plot the position of the tip of the ladder for 25 second. If the water leaves the fire hose at a speed of 18.5 m/s, determine and plot the trajectory of the water flow. The ladder of a fire truck can be elevated (increase of angle phi), rotated about the z axis (increase of angle theta), and extended (increase of r). Initially the ladder rest on the truck, phi = 0, theta = 0, r = 8.25 m. The ladder is moved to position by raising the ladder at a range of phi' = 5.00 deg/s, rotating of theta' = 7.50 deg/s, and extending the ladder at a rate of r' = 0.50 m/s. List all the necessary equations/expressions that are needed to solve the program. Determine and plot the position of the tip of the ladder for 25 second. If the water leaves the fire hose at a speed of 18.5 m/s, determine and plot the trajectory of the water flow