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An object's center of mass moves at a constant velocity v along a straight line past the origin. The accompanying figure shows the coordinate system and the line of motion. The dots show positions that are 1 sec apart. Why are the areas A₁, A₂, ..., A5, in the figure all equal? As in Kepler's equal area law (see Section 13.6), the line that joins the object's center of mass to the origin sweeps out equal areas in equal times. Kilometers 10 A5 t=6 A4 5 t=5 A3 A₂ vAt A₁ 10 Kilometers vAt = 2 t = 1 15

An object's center of mass moves at a constant velocity v along a straight line past the origin. The accompanying figure shows the coordinate system and the line of motion. The dots show positions that are 1 sec apart. Why are the areas A₁, A₂, ..., A5, in the figure all equal? As in Kepler's equal area law (see Section 13.6), the line that joins the object's center of mass to the origin sweeps out equal areas in equal times. Kilometers 10 A5 t=6 A4 5 t=5 A3 A₂ vAt A₁ 10 Kilometers vAt = 2 t = 1 15

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An object's center of mass moves at a constant velocity v along a straight line past the origin. The accompanying figure shows the coordinate system and the line of motion. The dots show positions that are 1 sec apart. Why are the areas A₁, A₂, ..., A5, in the figure all equal? As in Kepler's equal area law (see Section 13.6), the line that joins the object's center of mass to the origin sweeps out equal areas in equal times. Kilometers 10 A5 t=6 A4 5 t=5 A3 A₂ vAt A₁ 10 Kilometers vAt = 2 t = 1 15
Transcribed Image Text:An object's center of mass moves at a constant velocity v along a straight line past the origin. The accompanying figure shows the coordinate system and the line of motion. The dots show positions that are 1 sec apart. Why are the areas A₁, A₂, ..., A5, in the figure all equal? As in Kepler's equal area law (see Section 13.6), the line that joins the object's center of mass to the origin sweeps out equal areas in equal times. Kilometers 10 A5 t=6 A4 5 t=5 A3 A₂ vAt A₁ 10 Kilometers vAt = 2 t = 1 15
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