Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f(t) = -8t^2 + 48t + 40, where t represents the time in seconds after the ball was thrown and f(t) represents its height, in feet, from the ground.

Part A. How high is the roof from the ground? How many seconds did it take for the ball to hit the ground after it was thrown off the roof?

Part B. Jimmy wanted to throw the ball at a maximum height of 120 feet. Did Jimmy's baseball reach this height after it was thrown? Explain your answer.