In a horse race, horse 2 passes horse 1 at point A, where the two velocities are v₂ = m 7™ and v₁ = 6.8″. Horse 1 later passes horse 2 at point B and goes on to win the race at S = point C, 400 m from A. The elapsed times from A to C for horse 1 and horse 2 are t₁ 61.5 s and t₂ = 62.0 s, respectively. Assuming uniform accelerations for both horses between A and C, determine the distance from A to B, the position of horse 1 relative to horse 2 when horse 1 reaches the finish line C.
In a horse race, horse 2 passes horse 1 at point A, where the two velocities are v₂ = m 7™ and v₁ = 6.8″. Horse 1 later passes horse 2 at point B and goes on to win the race at S = point C, 400 m from A. The elapsed times from A to C for horse 1 and horse 2 are t₁ 61.5 s and t₂ = 62.0 s, respectively. Assuming uniform accelerations for both horses between A and C, determine the distance from A to B, the position of horse 1 relative to horse 2 when horse 1 reaches the finish line C.
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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In a horse race, horse passes horse 1 at point A, where the two velocities are v₂ =
7m² and v₁ = 6.8. Horse 1 later passes horse 2 at point B and goes on to win the race at
point C, 400 m from A. The elapsed times from A to C for horse 1 and horse 2 are t₁ =
61.5 s and t₂ 62.0 s, respectively. Assuming uniform accelerations for both horses
between A and C, determine the distance from A to B, the position of horse 1 relative to
horse 2 when horse 1 reaches the finish line C.
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