In a free-fall experiment, an object is dropped from a height of h = 400 feet. a camera on the ground 500 ft from the point of impact records the fall of the object (t
he shape is a 90 degree angle with 500 ft at the bottom).
(a) find the position function that yields the height of the object at time t assuming the object is released at time t = 0.
h(t) =
at what time will the object reach ground level? (round your answer to three decimal places.)
t =
5.12
sec
(b) find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (round your answers to four decimal places.)
θ'(1) =
rad/sec
θ'(2) =
rad/sec