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A llama travels 15m rightward to a patch of grass and 5m leftwards towards the shade over 30s. What is the llama's average speed and velocity?

A) Average speed: 0.67 m/s; Velocity: 0 m/s
B) Average speed: 0.67 m/s; Velocity: 0.67 m/s
C) Average speed: 0.67 m/s; Velocity: -0.67 m/s
D) Average speed: 0.67 m/s; Velocity: 0.33 m/s

User ErpaDerp
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1 Answer

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Final answer:

The llama's average speed is 0.67 m/s, calculated by dividing the total distance traveled by the total time taken. Its velocity is 0.33 m/s to the right, found by dividing the net displacement by total time. The correct answer is D) Average speed: 0.67 m/s; Velocity: 0.33 m/s.

Step-by-step explanation:

The student has asked about calculating a llama's average speed and velocity given its movement over a period of time. Average speed is the total distance traveled divided by the total time, irrespective of the direction. However, velocity is a vector quantity, which means it takes into account the direction of the movement as well as the magnitude of displacement over time.

To find the average speed, we add up the absolute values of distances traveled: 15m rightward + 5m leftward = 20m. Then, we divide by the total time taken, which is 30s. So average speed = 20m / 30s = 0.67 m/s. For velocity, we look at the net displacement: 15m rightward - 5m leftward = 10m rightward. We again divide by the total time to find velocity = 10m / 30s = 0.33 m/s to the right (positive direction).

Therefore, the correct answer to the student's question is option D) Average speed: 0.67 m/s; Velocity: 0.33 m/s.

User Simi
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