A ball is thrown vertically upward from the top of a building 1600 feet tall with an initial velocity of 80 feet per second.The distance d (t), in feet, of the ball from the ground after t seconds is d(t) = 1600 + 80t 16t².

a. After how many seconds is the ball at its maximum height?

b. Find the maximum height of the ball.

c. How long would it take the ball to hit the ground?

***** Please show step by step work for each answer.