Final answer:
To find the ideal banking angle for a highway turn, apply the formula tan(θ) = v²/(rg), converting velocity to m/s and using the given turn radius. Solve for θ to get the angle, which should be practical and safe for vehicles.
Step-by-step explanation:
The student seems to be asking about the ideal banking angle for a turn of a specific radius at a certain speed. This is a physics question involving centripetal force and friction. To calculate the ideal banking angle (θ) for a highway turn, we can use the centripetal force equation and relate it to the gravitational force. Using the formula tan(θ) = v²/(rg), where v is the velocity, r is the radius of the turn, and g is the acceleration due to gravity, we can find the ideal angle. In this case, we have v = 105 km/h (which we need to convert to meters per second) and r = 1.20 km.
After substituting these values into the formula and solving for θ, we can determine the ideal banking angle. The answer should make sense in practical terms, meaning the angle should not be extreme; it should allow a vehicle to turn safely without sliding outward due to inertia.