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The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time 0 20 40 60

The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows:

Time 0 20 40 60 80 100 120 140 160 180 200
Altitude 370 9170 23835 45624 62065 87368 97355 103422 127892 149626 160095

Numerically compute the velocity from the table above using the central difference scheme.Use

f'(x) ~ (3 f(x) - 4 f(x - h) + f(x - 2 h)) / 2 h

at t=200 and use

f'(x) ~ (4 f(x+h) - f(x+2 h) - 3 f(x)) / 2 h

at t=0.

Make sure that you attach example runs showing the results from the computer.

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