Project 1 Tracking a falling object 400m/s The object is initially 40,000m above the radar and throwing at initial vertical downward velocity 300m/s and horizontal velocity 400m/s. In this example we are neglecting drag or air resistance so that only gravity g (g = 9.8m/s2) acts on the object. Let us pretend that the radar measures the range from the radar to the target with a 100m standard deviation measurement accuracy. The 300m/s 40, 000m radar takes measurement 10 times a second for 30 s. We would like to build a filter to estimate the position and velocity of the object without any a priori information.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter4: Motion In Two Dimensions
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Problem 4.4OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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Project 1 Tracking a falling object
400m/s
The object is initially 40,000m above the radar and
throwing at initial vertical downward velocity
300m/s and horizontal velocity 400m/s. In this
example we are neglecting drag or air resistance so
that only gravity g (g = 9.8m/s2) acts on the
object. Let us pretend that the radar measures the
range from the radar to the target with a 100m
standard deviation measurement accuracy. The
300m/s
%3D
40, 000m
radar takes measurement 10 times a second for 30 s.
We would like to build a filter to estimate the
position and velocity of the object without any a
priori information.
Transcribed Image Text:Project 1 Tracking a falling object 400m/s The object is initially 40,000m above the radar and throwing at initial vertical downward velocity 300m/s and horizontal velocity 400m/s. In this example we are neglecting drag or air resistance so that only gravity g (g = 9.8m/s2) acts on the object. Let us pretend that the radar measures the range from the radar to the target with a 100m standard deviation measurement accuracy. The 300m/s %3D 40, 000m radar takes measurement 10 times a second for 30 s. We would like to build a filter to estimate the position and velocity of the object without any a priori information.
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