A bus departs Town A (taken as position x=0) and travels along a straight east–west highway according to the schedule below. Assume the highway lies entirely on the +x axis.
• 0 min – 15 min: drives 12 km east to a rest stop.
• 15 min – 30 min: remains parked.
• 30 min – 55 min: continues 28 km east to Town B.
Treat all motion as strictly one-dimensional along the highway.
(a) Determine the total distance the bus travels from t=0 min until it reaches Town B.
(b) Determine the bus’s displacement for the same interval. Include the algebraic sign to indicate direction.
(c) Using the total elapsed time, calculate the bus’s average speed and its average velocity for the trip. Express each answer with correct units and sign where applicable.