Core Connections Integrated III, 2015
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Core Connections Integrated III, 2015 View details
1. Section 9.1
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Exercise 30 Page 442

Practice makes perfect
a Notice that one full cycle is when the graph has returned to the same position as when it started.

The passenger gets on when θ=0. Let's add this to the graph.

b Notice that the y-axis shows the height above the ground for a specific seat. Therefore, the bottom of the water pit must correspond to the graph's troughs.
c If a passenger is halfway between the highest point and the ground level, the passenger will be at a height of 50 meters up in the air. Let's mark this on the graph.

As we can see, there are two positions on the screamer where the passenger is halfway between the highest point and the ground level.