Final answer:
The bus takes 35 seconds to travel from the first to the second bus stop. The average velocity calculation requires total displacement, which isn't provided. School buses adhere to local traffic regulations and typically have lower maximum speeds for safety during frequent stops.
Step-by-step explanation:
To find the time taken for the bus to travel from the first to the second bus stop, we add up the durations of acceleration, constant speed, and deceleration. The bus accelerates for a certain time until it reaches 20 m/s at 2 m/s². This takes 10 seconds (20 m/s ÷ 2 m/s²). It then travels for 20 seconds at a constant speed. Finally, it decelerates uniformly to a stop in 5 seconds. Hence, the total time is 10 + 20 + 5, which equals 35 seconds.
The average velocity can be calculated by dividing the total displacement by the total time. Since we don't have the specific displacement values, one way to do this is to consider the distances covered during each phase and the time taken. Without the distances, we cannot provide the exact average velocity, but the concept involves combining the distances and dividing by the total time.
In a typical setting, the maximum speed for frequently stopping school buses would be guided by local traffic regulations and situations requiring frequent stops would generally necessitate a lower speed for safety reasons.