A toy rocket is launched from the top of a building 105 feet tall at an initial velocity of 233 feet per second. a) Give the function that describes the height of the rocket in terms of time t. b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet. c) For what time interval will the rocket be more than 260 feet above ground level? d) After how many seconds will it hit the ground?

​a) The function that describes the height of the rocket in terms of t is s(t)= _____
b) The rocket reaches its maximum height of _____ feet after approximately _____ seconds
​c) The rocket will be more than 260 feet above ground level for all values of t in the interval ____
​d) The rocket will hit the ground after _____ seconds