A military radar identified an unknown object flying above Andaman Sea. The Radar Intercept Officer (RIO) justified that this unknown flying object follows a motion equation, s(t) = sin t + 6t where s in meter and t in second. Justify whether 3-point central difference has higher accuracy in approximating the velocity of the unknown flying object at 4209, comparing to 2-point forward difference and 2-point backward difference. Use small increment, h= 10-3.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(b)
A military radar identified an unknown object flying above Andaman Sea. The Radar
Intercept Officer (RIO) justified that this unknown flying object follows a motion
equation, s(t) = sin t + 6t where s in meter and t in second. Justify whether 3-point
central difference has higher accuracy in approximating the velocity of the unknown
flying object at 4209, comparing to 2-point forward difference and 2-point backward
difference. Use small increment, h = 10-3.
Transcribed Image Text:(b) A military radar identified an unknown object flying above Andaman Sea. The Radar Intercept Officer (RIO) justified that this unknown flying object follows a motion equation, s(t) = sin t + 6t where s in meter and t in second. Justify whether 3-point central difference has higher accuracy in approximating the velocity of the unknown flying object at 4209, comparing to 2-point forward difference and 2-point backward difference. Use small increment, h = 10-3.
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