Final answer:
The average velocity of the dancer is calculated by dividing the displacement by the time. With a displacement of -5 meters and a time of 15 seconds, the dancer's average velocity is -1/3 m/s, or 1/3 m/s west when direction is considered.
Step-by-step explanation:
The question provided asks for the calculation of the average velocity of a dancer who moves 5 meters to the left of the stage in 15 seconds. To calculate average velocity, which is a vector quantity, we divide the displacement by the total time taken. In this case, the displacement is -5 meters (to the left is usually considered the negative direction in physics) and the time is 15 seconds.
The calculation will be as follows:
- Displacement = -5 m (negative because it's to the left)
- Time = 15 s
- Average velocity = Displacement / Time = -5 m / 15 s = -1/3 m/s
Since the question specifies the dancer moves to the left of the stage, we can include the direction in our answer as west if we assume left is westward on the stage. Therefore, the correct average velocity would be 1/3 m/s west.