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In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not dewn to scale (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 = 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.) O"(1) = rad/sec O"(2) = rad/sec

In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not dewn to scale (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 = 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.) O"(1) = rad/sec O"(2) = rad/sec

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). h 500 ft Not drawn to scale (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 = 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.) O'(1) rad/sec %D O'(2) rad/sec
Transcribed Image Text:In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). h 500 ft Not drawn to scale (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 = 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.) O'(1) rad/sec %D O'(2) rad/sec
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