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A caterpillar tries to climb straight up a wall a meter high, but for every 2 cm up it climbs, it slides down 1 cm. Eventually, it reaches the top. When it reaches the top, it does not pull itself over so it will slide down 1 cm. What is the total displacement traveled? (Include direction, whether up, down, or n/a.)

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alinakincsem

Answer:

Total displacement traveled = 298

Explanation:

According to the given information, to actually climb for 1 cm, the caterpillar has to travel for 3 cm (2 cm upwards and 1 cm downwards).

So in order to climb straight up a one meter (100 cm) high wall, it needs to travel for 99 × 3 = 297 cm.

Then after a little it can travel up another cm to reach the top.

Therefore, the total displacement traveled = 297 + 1 = 298 cm

AL2006

"Displacement" means the distance and direction from start to finish, regardless of what happened in between.

The caterpillar's displacement is 99 cm straight up.

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