A piece of driftwood near the shore rises 4 inches and falls 4 inches as the waves move over a period of 6 seconds. Write a sine function representing the height of the driftwood as it begins to fall.

A varsity soccer player kicks a soccer ball approximately straight upward with an initial velocity of 68 ft/sec. The ball leaves the players foot at a height of 3 feet. Part 1 of 2: (2 pts) Use the position function to write a model representing the height of the soccer ball (in feet) t seconds after being kicked. (Assume the acceleration due to gravity is 32 ft/sec2). Be sure to reduce your first term. Part 2 or 2: (6 pts) Use that model to determine the times at which the ball is 73 feet in the air. Use FACTORING to solve. Be sure to write a sentence that explains both of your answers.