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.
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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!