A student kicks a soccer ball with an initial velocity of 12.0 m/s at a fence at an angle θ = 53 degrees, which is a height 3.5 meters and is a distance of 5.0 meters away from where they kicked the ball. The ball hits nothing in flight while in flight and air resistance is negligible. sin 53 degrees = 0.80
cos 53 degrees = 0.60
tan 53 degrees = 1.33

A. Determine the initial horizontal and vertical velocity vox and voy of the ball.
B. Determine the time it takes for the ball to reach the fence.
C. Will the ball hit the fence? If so, how far below the top of the fence will it hit? If not, how far above the top of the fence will it pass?
D. The student repeats the kick in a flat field with no fence, it lands at the same vertical
position it was kicked from.
i. How much time does the ball spend in the air?
Ii. Determine the horizontal distance the ball will travel.

Astone dropped into a well is heard to strike the water after 8seconds. find the depth of the well if the velocity of sound is 350m/s

Which of these statements is true? a. quarks pair with leptons to form protons and neutrons. b. quarks pair with bosons to form photons. c. quarks pair with photons to form protons and neutrons. d. quarks pair with other quarks to form protons and neutrons. e. quarks pair with electrons to form protons.

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)?