Question

select all the correct answers. two buses leave school moving in opposite directions. after 15 minutes, they are both 10 miles away from the school. which describe the motion of the buses? the velocity of the buses is equal. the average speed of the buses is equal. the average speed of the buses is not equal. the velocity of the buses is not equal. both buses move with constant velocity the entire trip.

Explanation:

Step1: Recall speed and velocity definitions

Speed is a scalar quantity (magnitude - only), velocity is a vector quantity (magnitude and direction).

Step2: Analyze given situation

The buses move in opposite directions. Distance covered in 15 minutes is 10 miles for both. Average speed = $\frac{\text{total distance}}{\text{total time}}$. For both buses, average - speed = $\frac{10}{\frac{15}{60}}=\frac{10}{\frac{1}{4}} = 40$ miles per hour. So, the average speed of the buses is equal. But velocity has a direction component. Since they move in opposite directions, the velocity of the buses is not equal. There is no information to suggest that the velocity is constant throughout the trip.

Answer:

• The average speed of the buses is equal.
• The velocity of the buses is not equal.