Final answer:
To find the displacement, multiply the average velocity (1.5 m/s) by the time converted to seconds (4.5 min to 270 s), resulting in a displacement of 405 m to the north.
Step-by-step explanation:
The question asks how to determine your displacement when you walk from your house to a friend's house with an average velocity, providing specific values for time and velocity. Displacement is a vector quantity that represents the change in position of an object and is directed from the starting point to the final position. To find displacement, we use the formula:
Displacement = Velocity × Time
The average velocity given is 1.5 m/s to the north, and the time taken to walk is 4.5 minutes, which needs to be converted to seconds (4.5 min × 60 s/min = 270 s) before calculating displacement. Therefore, the displacement is:
Displacement = 1.5 m/s × 270 s = 405 m
The correct answer is c) 405 m, which represents the displacement to the north from your house to your friend's house.