The height, h (in feet) of a model rocket launched from the roof of a building at t seconds is given by a. Expand s(t) = - 16(t+ 1)(t -3) to write it in the form s(t) = at + bt + c. h = s(t) = - 16(t + 1)(t-3). s(t) = + +t+ 1=s(t) b. What is the height of the rocket at t = 0? The inital height is feet. O c. Find the formula for the velocity s'(t). s'(t) = d. What is the initial velocity? s'(0) = ft per sec. e. The value of a in the formula s(t) = atz + bt + c tells us if the graph opens up or down. It is , the acceleration of the object due to gravity. What does b represent? A. b is the velocity when the height is maximum. B. b is the initial velocity and the slope of the tangent line to the function at t = 0 C. b is the maximum height OD. b is the initial height of the object. f. What does the value of c in the formula s(t) = atz + bt + c tell us about the object? A. c is the initial velocity and the slope of the tangent line to the function at t = 0 . . . B. c is the velocity when the height is maximum. OC. c is the initial height of the object. D. c is the maximum height g. When does it hit the ground? The object hits the ground at t = sec. h. The velocity upon impact is ft per sec. i. Find the time t when the velocity of the rocket is 0 ft per sec. Att = sec