**Boeing stretches boundaries of travel
**

This article relies on numeracy, specifically the calculations of speed, time and distance, to compare Boeing's proposed high speed, long range passenger aircraft and the current Boeing 747 400. Many ideas can be appropriated from this article.

Such an article can provide the opportunity for reinforcement of basic numeracy in a real context including such things as decimals, fractions and place value. The opportunity also exists to introduce a basic equation, speed = distance /time, and how to manipulate it to gain the results required. We can use limited information to complete the picture.

The speed of sound (Mach 1) = 331 metres/sec or

331 * 60 =19860 metres/min

19860*60 = 1191600 metres/hr

1191600/1000 = 1191.6 km/hrMach .95 = 1191.6 * .95 = 1132 km/hr

Once we know the proposed new jet's speed we can determine that of the 747. New jet @ 1132 km/hr saves approximately 1 hr every 4825 km/in travelled when compared with that of the 747.

distance/speed = time new jet, 4825/1132 = 4.26 hrs

Add one hour for 747, speed = distance/time s = 4825/ 5.3

Speed of 747 = 910 km/h (approximately)

This can be extended by asking:

- If both planes fly in the same direction for 10 hrs, what is the distance between the two planes?
- What factors does the article omit that could influence these results? ie, rate of acceleration, climbing time required to reach cruising speed and altitude.
- If we know/approximate/ decide what the acceleration and deceleration time of each plane is, at what distance would it become faster to travel on the new jet?

The opportunity exists to express this visually with graphs.

One should also consider the SOSE aspects, as in the first question for students. For example:

- How might we be travelling and to where in the year 2050?
Who would use such

transport? - What factors could prohibit the use of large and fast planes?
For example:
- Resources and environmental impact.
- Cost/ availability of specialist materials for construction and use, aluminium and carbon-fibre etc.
- Running costs
- Servicing and fuel/ oil etc.
- Pollution

Other areas of potential interest.

- The appearance of the aircraft.
- The height to which our atmosphere extends (1600 km) and why might we want to travel as high as 1300 km or 42 650 ft in an aeroplane).
- Velocity.

(Written by Leigh Price, BTeach student, University of Tasmania,
2001)

Where to next?Newspaper article

Student Questions for this article

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