Practice Velocity
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 |
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 = |
| ||
∆t1 = | 6.0 km | = 1.0 h | |
6.0 km/h | |||
∆t2 = | 10 km | = 2.0 h | |
5.0 km/h |
v = |
| ||
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.
1velocity-analysis method
- метод анализа скоростей (сейсм.)
метод анализа скоростей (сейсм.)
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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 анализаEnglish-Russian dictionary of geology >velocity analysis method
4velocity-analysis method
* * *Англо-русский словарь нефтегазовой промышленности >velocity-analysis method
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Геофизика:способ анализа скоростей, способ разновременного криволинейного анализаУниверсальный англо-русский словарь >velocity analysis method
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Универсальный англо-русский словарь >velocity-analysis method
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English-Russian seismology dictionary >velocity-analysis method
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