How do I begin, this is the math problem from hell in my opinion. We can use any method we please to solve this, but it's gotta' be in, and quick. My prof says that it's due tenatively around the end of the week. I'm feeling a little sick because I don't really know where to start. So if anyone has helpful advice or suggestions, it would be really appreciated.
You may have seen or heard about hte circus act in which someone dives off a high platform into a small tub of water. Well, the interactive circus troupe has come up with a new wrinkle on this act. The have attached the divers platform to one of the seats on a ferris wheel, so that it sticks out horizontally, perpendicular to the plane of the Ferris wheel. The tub of water is on a moving cart that runs along a track, parallel to the plane of the Ferris wheel, and passes under the end of the platform. As the Ferris wheel turns, an assistant holds the diver by the ankles. The assistant must let go at exactly the right moment, so that the diver will land in the moving tub of water.
what you actually need to know:
-The ferris wheel has a radius of 50 feet
-The center of the Ferris wheel is 65 feet above the ground
-The ferris wheel turns counterclockwise at a constant rate, making a complete turn every 40 seconds.
-When the cart starts moving, it is 240 feet to the left of the base of the ferris wheel.
-The cart moves to the right along the track at a constant speed of 15 feet per second
-The water level in the cart is 8 feet above the ground
-The cart starts moving as the platform passes the 3 o'clock position.
Let t=0 represent the time when the Ferris wheel passes the 3o'clock position, which is also when the cart begins moving. Let W represent the number of seconds that elapse between t=0 and the moment when the diver is released.
For what choice of W will the diver land in the tub of water?