Suppose that the height of a projectile fired vertically upward from a height of 80 feet with an initial velocity of 64 feet per second is given by A (t) = -1612 + 64t + 80. (a) Compute the height of the object for t = 0, 1, 2, 3, 4, 5, and 6 seconds. (b) What is the physical significance of h (6)? What does that suggest about the domain of h? (c) What is the average velocity of the projectile for each of the following time intervals? (1) [1, 3] (ii) [0, 2] (iii) [0, 4] (d) What is the physical significance of an average velocity of 0? (e) When does the projectile reach its maximum height? (f) For what value(s) of t is h (t) = 0? Are all solutions to the equation valid? Explain