Question

If you walk at a speed of 0.6 m/s for a distance of 100m, then run at a speed of 5.9 m/s for 100m, all in a straight line, what is your average speed? Use m/s and give units.

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Answer to a math question If you walk at a speed of 0.6 m/s for a distance of 100m, then run at a speed of 5.9 m/s for 100m, all in a straight line, what is your average speed? Use m/s and give units.

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Timmothy
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To find the average speed, we can use the formula: average speed = total distance / total time In this case, the total distance is 100m + 100m = 200m. Let's calculate the total time it takes to cover this distance. For the walking portion, the distance is 100m and the speed is 0.6 m/s. Using the formula: time = distance / speed we can calculate the time it takes to walk 100m: time = 100m / 0.6 m/s = 166.67 s (rounded to two decimal places) For the running portion, the distance is also 100m and the speed is 5.9 m/s. Again, using the formula: time = distance / speed we can calculate the time it takes to run 100m: time = 100m / 5.9 m/s = 16.95 s (rounded to two decimal places) Now, let's calculate the total time by adding the walking time and the running time: total time = 166.67 s + 16.95 s = 183.62 s (rounded to two decimal places) Finally, we can calculate the average speed using the formula: average speed = total distance / total time average speed = 200m / 183.62 s = 1.09 m/s (rounded to two decimal places) Therefore, the average speed is approximately 1.09 m/s

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