S.O.S. Mathematics CyberBoard

I dont know what im doin,....


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. However, the next haul will put him over the 100 m mark and finish his trip.

What is the total distance traveled? (Remember, he traveled in an up-and-down motion.)

___cm ___(this space for up down or n/a direction)




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.)

___cm ____





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.

Upon reaching the top, the caterpillar fell to the ground. What is the total displacement? (Include direction, whether up, down, or n/a.)

___cm ___




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.

Upon reaching the top, the caterpillar fell to the ground. What is the total distance traveled beginning with the climb up?

___cm ___

You should be able to figure out the first one. Just add the distances traveled backwards and forwards. The key to the second one is understanding that displacement and total distance traveled are different: displacement is simply the distance from your starting point to your concluding point. The third one wants you recognize that a round-trip journey confers no displacement. Distance (as you mentioned) was still traveled though... figure this out using the same method you used for the first one.

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~ Blaise Pascal