25 May Week 2: Motion Invitation to Inquiry Have you ever seen an entire stage
Question
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Week 2: Motion
Invitation to Inquiry
Have you ever seen an entire stage covered with dominoes lined up, one after another and winding around into interesting patterns? The entertainer tips over one domino, which falls into another, which falls into the one next to it . . . and on until in a short time all the dominoes have fallen over.
How far apart should the dominoes be spaced for maximum speed? Is it possible to vary this speed by changing the spacing? One domino causes a falling row to continue falling by hitting its neighbor, so the limit to how far apart the dominoes are spaced must be the length of a domino. The other limit would be zero space between two adjacent dominoes, so the limits to the spacing between two adjacent dominoes must be somewhere between zero and one domino length. Thus, it would be convenient to record spaces between dominoes as a ratio of domino lengths, that is, the space between dominoes in cm divided by the length of one domino in cm.
You will need to determine how you plan to space the dominoes, as well as how many dominoes are needed to measure the speed. By making a graph and doing some calculations, can you predict how many dominoes would be needed—and at what spacing—to make a row that takes exactly 2 minutes to fall?
Ratio of spacing length to domino length (spacing/domino length).
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