Question

Daniel is walking in the middle of the bus towards the front of the bus from the back seats at a rate of 1 m/s with respect to the bus. The bus is moving towards an intersection at 10 m/s. What is Daniel's velocity with respect to the intersection?

A) 9 m/s
B) 11 m/s
C) 1 m/s
D) 10 m/s

Answer 1

Daniel's velocity with respect to the intersection is the sum of his velocity relative to the bus and the bus's velocity relative to the intersection, which is 11 m/s (Option B).

Step-by-step explanation:

Daniel's velocity with respect to the intersection is calculated by considering the velocity of Daniel relative to the bus, and the velocity of the bus relative to the intersection. Since both Daniel and the bus are moving in the same direction towards the intersection, we add the two velocities to get Daniel's velocity with respect to the intersection:

Velocity of Daniel with respect to the intersection = Velocity of Daniel with respect to the bus + Velocity of the bus with respect to the intersection

= 1 m/s + 10 m/s

= 11 m/s

Therefore, the correct answer is B) 11 m/s.