In a free-fall experiment, an object is dropped from a height of h = 144 feet. A camera on the ground 500 ft from the point of impact records the fall of the object.

Question

a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0.

b) At what time will the object reach ground level? (Round your answer to three decimal places.)

c) 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

Essentially I need help figuring out the specific steps so I can repeat the process with similar problems.

Answer 1