Young Jeffrey is bored, and decides to throw some things out of the window for fun. But since he is also very curious, he decides to do so in a controlled way. Jeffery takes a rock, his tennis ball, and one of his fathers golf balls and sets them on the sill of an open window. Then he uses a flat board to carefully push them all out of the window at the same time. The 2nd story window is 10.0 ft above the ground, and all three objects hit the ground just 0.500 ft away from the base of the house at the same time, 0.788s after they're dropped. The rock hits with a thud and stays put, but the other two objects bounce. After another 0.591s, the tennis ball reaches a maximum height of 5.63 ft, while the golf ball is 7.88 ft off the ground and still rising. Both have travelled an additional 0.375ft horizontally. Calculate the magnitude of the average velocity of each object during these 1.38 seconds. Which object has the largest instantaneous velocity at the end of this time period?

The bubba chump shrimp company processes and packages shrimp for sale to wholesale seafood distributors. the shrimp are transported to the main plant by trucks that carry 1,000 pounds (lb) of shrimp. once the continuous flow processing of the shrimp begins, no inventory is allowed in buffers due to spoilage and all of the shrimp must be processed within 12 hours to prevent spoilage. the processing begins at the sorter, where the trucks dump the shrimp onto a conveyor belt that feeds into the sorter, which can sort up to 500 lb per hour. the shrimp then proceed to the desheller, which can process shrimp at the rate of 400 lb per hour. however, after 3 hours and 45 minutes of processing, the desheller must be stopped for 15 minutes to clean out empty shrimp shells that have accumulated. the veins of the shrimp are then removed in the deveining area at a maximum rate of 360 lb per hour. the shrimp proceed to the washing area, where they are processed at 750 lb per hour. finally, the shrimp are packaged and frozen. what is the daily process capacity of the processing plant (excluding the packaging and freezing)?