Activity A Practice Jump After some not-so-high practice dives by the circus owner, the circus performers decide to do a practice run of the show with the diver himself. But they decide to set it up so that they will not have to worry about a moving cart. Instead, the cart containing the tub of water is placed directly under the Ferris wheel's 11 o'clock position. As usual, the platform passes the 3 o'clock position at t = 0. 1. How many seconds will it take for the platform to reach the 11 o'clock position? 2. What is the diver's height off the ground when he is at the 11 o'clock position? One purpose of this practice run is to find how long it will take for the diver to fall into the water. You should be able to predict this, based on the formula that an object falling freely from rest takes Vi seconds to fall h feet. Assume the diver is falling freely from rest. 3. How long will it take from the time the diver is released until he hits the water? Don't forget that the water level in the cart is 8 feet above the ground 4. More generally, suppose the assistant lets go w seconds after the Ferris wheel starts turning. Here. W stands for wheel time." Assuming the cart is in the right place, how long will the diver be in the air before he hits the water? 220 INTERACTIVE MATHEMATICS PROGRAM