Final answer:
The bus takes 2.78 hours to travel from the first bus stop to the second bus stop. The average velocity of the bus during the trip is 154.1 km/h.
Step-by-step explanation:
(a) To find the time it takes for the bus to travel from the first bus stop to the second bus stop, we need to calculate the total time spent traveling and the time spent at the bus stop. The bus travels 280 km with an average velocity of 88 km/h, so the total time spent traveling is:
Total Time = Distance / Velocity = 280 km / 88 km/h = 3.18 hours
The bus stops for 24 minutes, which is equivalent to 0.4 hours. Therefore, the time it takes for the bus to travel from the first bus stop to the second bus stop is:
(a) Total Time - Time at Bus Stop = 3.18 hours - 0.4 hours = 2.78 hours
(b) To find the average velocity of the bus during the trip, we need to calculate the total displacement and divide it by the total time:
Total Displacement = Displacement to First Bus Stop + Displacement to Second Bus Stop = 280 km + 210 km = 490 km
Average Velocity = Total Displacement / Total Time = 490 km / 3.18 hours = 154.1 km/h