I think we have learned enough to solve the unit problem.
We have equations to calculate the height of the diver, the x-coordinate of the diver, the fall time of the diver, and the x-coordinate of the cart.
We tried to see if the diver would fall into the cart if the wheel time (W) was 13.33, and we discovered that the cart would pass the diver.
On our group quiz, we tried to see if a wheel time (W) of 9.5 would work, and from examining the quizzes, most groups are saying that "NO" the diver will not fall into the cart.
What strategies could we use to solve for the "right" W?
Wednesday, December 10, 2008
Almost Done?
Posted by MR. MARTI at 2:25 PM
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You could graph the equation that tells you the x coordinate of the performer on the wheel platform [50cos(9x)] and the equation that tells you the x coordinate of the cart [15*(x+Square root of (65+50sin(9x)-8) -240]. After graphing, you can find the intersection. This intersection tells you the wheel time and x-coordinate of where the cart meets the performer.
x= wheel time, y=x coordinate
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