An otter lies on its back on the water while it eats. As the waves move, the otter rises 6 inches and falls 6 inches over a period of 20 seconds. Write a sine function representing the height of the otter as it begins to rise.

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.

The height in meters of an object launched upward is represented on the table

Select the equation that represents the height of the object h(t) given t, the number of seconds since its launch