A rock is thrown from the edge of a hill. The height of the…
A rock is thrown from the edge of a hill. The height of the rock, in feet, t seconds from the moment of release is given by the function . (Note: This function is valid only from the moment the rock is released until the rock hits the ground. a) (1 point) How long does it take the rock to reach its maximum height? b) (3 point) What is the height of the rock after 4 seconds? What is the height of the rock after 11 seconds? Write a complete sentence explaining your answers obtained here for the context of the problem. c) (2 points) What is the maximum height of the rock? d) (4 points) After the rock is thrown, when will it reach the ground? Write complete sentences explaining the final answers obtained.(must show work algebraically- round final answer to one decimal place if necessary)