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Chapter 2: Problem 10

If you travel in a straight line at \(50 \mathrm{km} / \mathrm{h}\) for \(1 \mathrm{h}\) and at \(100 \mathrm{km} / \mathrm{h}\) for another hour, is your average velocity \(75 \mathrm{km} / \mathrm{h} ?\) If not, is it more or less?

Short Answer

Expert verified
Yes, the average velocity is indeed 75 km/h.

Step by step solution

01

Calculate the distance travelled in each hour

In the first hour, at a speed of 50 km/h, the distance travelled (which is speed times time) is \(50 km/h \times 1 h = 50 km\). In the second hour, at a speed of 100 km/h, the distance travelled is \(100 km/h \times 1 h = 100 km\).
02

Calculate total distance and total time

The total distance is the sum of the distances travelled in each hour, that is \(50 km + 100 km = 150 km\). The total time is \(1 h + 1 h = 2 h\).
03

Calculate average velocity

The average velocity is the total distance divided by the total time. Hence the average velocity is \(150 km / 2 h = 75 km/h\).

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Most popular questions from this chapter

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