You have an infinite row of dominoes. Each domino is the same size, weight, and distance apart from the next domino.

Ignore relativistic effects, assume that the coefficient of friction between the dominoes and the floor is excessively large, and assume the naturally occuring variables, such as sound and heat loss, do not apply.

PART 1
If you were to graph the topple rate (dominoes toppled over a second) over time, what would the basic shape of the line be?

PART 2
What are all the necessary variables in determining the equation of the line?

PART 3
Use the variables from the previous part to create an equation that solves for the topple rate after a certain time has passed.

Note:

The slope is not a strait line. Just look at a regular row of dominoes. It looks like there is a constant rate after a maximum velocity.

Although there is no friction, there is another factor that does not make the slope a strait line.

If you did have an infinite row, (not including relativity) the velocity would not reach an infinte. Think harder, it took me a while to understand it.

Posted by Haruki on 2006-07-02 15:22:53