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Average speed

This problem is deceptively easy. Averaging is taught in elementary school, which makes this an elementary problem. Right?

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6.0 km/h + 5.0 km/h = 5.5 km/h
2
The wrong method of averaging
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The add-and-divide method of averaging only works when averaging items of equal weight. The average age of the students in a classroom is the sum of their ages divided by the number of students only because each student is considered to have the same significance (a student, is a student, is a student, … ). In this problem, however, the two segments of the walk are significantly different. The second 'half' was actually the majority of the walk. It carries more weight than the shorter first 'half'. Thus, the add-and-divide method won't work.

Let's return to our definition. Since speed is the rate of change of distance with time, we'll need both the distance traveled and the time it took to complete the walk. After we determine both of these numbers, the rest is easy.

t =
s
v
t1 = 6.0 km = 1.0 h
6.0 km/h
t2 = 10 km = 2.0 h
5.0 km/h
v =
s
t
v = 6.0 km + 10 km
1.0 h + 2.0 h
v = 5.3 km/h

Look closely at the calculations on the right side. Notice that the formula contains (delta) symbols and yet I added the distances in the numerator and the times in the denominator. That's because doesn't mean difference, it means change. During the walk my position didn't change from 6.0 km to 10 km, it changed first by 6.0 km and then by 10 km for a total change of 16 km.

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  • 1velocity-analysis method

    1. метод анализа скоростей (сейсм.)

    метод анализа скоростей (сейсм.)

    [ http://slovarionline.ru/anglo_russkiy_slovar_neftegazovoy_promyishlennosti/]

    Тематики

    EN

    Англо-русский словарь нормативно-технической терминологии >velocity-analysis method

  • 2velocity-analysis method

    Большой англо-русский и русско-английский словарь >velocity-analysis method

  • 3velocity analysis method

    способ разновременного криволинейного анализа

    English-Russian dictionary of geology >velocity analysis method

  • 4velocity-analysis method

    * * *

    Англо-русский словарь нефтегазовой промышленности >velocity-analysis method

  • 5velocity analysis method

    Геофизика:способ анализа скоростей, способ разновременного криволинейного анализа

    Универсальный англо-русский словарь >velocity analysis method

  • 6velocity-analysis method

    Универсальный англо-русский словарь >velocity-analysis method

  • 7velocity-analysis method

    English-Russian seismology dictionary >velocity-analysis method

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