A rocket is fired straight up with an initial velocity of 256 ft/s. The rocket is fired from a platform that is 576 feet above the ground. Use 16 for g. 1.) Write a function, s(t), that models the height of the rocket at time t seconds. This rocket reaches a maximum height of 1600 ft; use this fact to validate your model. 2.) When does the rocket reach its maximum height? 3.) When does the rocket hit the ground? 4.) Write the model from #1 in Vertex Form.