Question

A woman starts 40 m East of the origin and runs West at 5 m/s for 2 seconds. She then runs 10 m/s west for 2 seconds.(Draw it on a graph) . what is the magnitude of her average velocity?

Answer 1

The magnitude of the woman's average velocity is 7.5 m/s.

Step-by-step explanation:

To find the average velocity, we need to determine the total displacement and divide it by the total time taken. In this scenario, the woman starts 40 m east of the origin and runs west at 5 m/s for 2 seconds. This results in a displacement of -10 m (negative since she is moving to the west direction). She then runs west at 10 m/s for 2 seconds, resulting in a displacement of -20 m. The total displacement is the sum of these displacements, which is -30 m.

The total time taken is 2 seconds + 2 seconds = 4 seconds.

To calculate the average velocity, we divide the total displacement by the total time taken: Average velocity = total displacement / total time = -30 m / 4 s = -7.5 m/s.

Therefore, the magnitude of her average velocity is 7.5 m/s.