Your goal is to simulate and analyze a sled's motion as it slides down a hill, taking into account both the friction between the sled and the snow, and the angle of the slope. Follow these steps to complete the task:

• Write a function that calculates the sled's acceleration using gravity, the slope angle, and the friction coefficient. Use the formula: a = g * (sin(theta) - mu * cos(theta)), where g is the acceleration due to gravity (9.81 m/s²), theta is the slope angle in radians, and mu is the friction coefficient.
• If the calculated acceleration is zero or negative, set both the sled's final speed and distance traveled to zero. This means the sled does not move down the hill.
• If the acceleration is positive, calculate the sled's final speed after it travels the full length of the hill using the kinematic equation for constant acceleration: v = sqrt(2 * a * hill_length), where hill_length is the distance along the slope.
• Make sure your function returns both the final speed and the distance traveled (which should be the full hill length if the sled moves, or zero if it does not).
• Create another function that plots the relationship between slope angle and the sled's final speed for several different friction coefficients. For each friction value, plot a curve showing how final speed changes as the slope angle increases.
• Use np.deg2rad to convert degrees to radians for angle calculations, and np.sqrt for square root calculations.
• Use the provided hint formula for acceleration, and follow the instructions above to ensure your simulation and analysis are complete and accurate.