Question
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Starting from the front door of your ranch house, you walk 60.0 m due east to your windmill, turn around, and then slowly walk 40.0 m west to a bench, where you sit and watch the sunrise. It takes you 29.0 s to walk from your house to the windmill and then 42.0 s to walk from the windmill to the bench. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Average and instantaneous velocities. Express your answer with the appropriate units.

Ask by Erickson Lowe. in the United States
Feb 04,2025

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Answer

The average velocity is approximately 0.28 m/s east.

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The Deep Dive

To calculate the average velocity for your entire walk, you'll want to find the total displacement and divide it by the total time. From your house to the windmill is 60.0 m east, and then you walk 40.0 m west. The total displacement is 60.0 m - 40.0 m = 20.0 m east. The total time taken for the journey is 29.0 s + 42.0 s = 71.0 s. Thus, the average velocity is 20.0 m / 71.0 s, which gives an average velocity of approximately 0.282 m/s east. Now, as you calculate velocities, don't forget the difference between average and instantaneous velocity! Average velocity takes into account the whole journey, while instantaneous velocity measures how fast you're going at a specific moment. A common mistake is to confuse these two concepts, so keep an eye out for the context of your problem!

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