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One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels north at 35 mph. At what rate is the distance between the cars changing at the instant the second car has been travelling for 3 hours? (source : faculty mell h

One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels north at 35 mph. At what rate is the distance between the cars changing at the instant the second car has been travelling for 3 hours? (source : faculty mell h

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section2.3: Models And Applications
Problem 20SE: Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda...
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One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels_north at 35 mph. At what rate is the distance between the cars changing at the instant the second car has been travelling for 3 hours? (source faculty. math. illinois.edu) solution: d=rt 4 Z X- dy dt x² + y² = 2² x(t) = 20t = 35 y(t) = 35 (t-1) 36 व dz dt = ? = 20 px dy + by dz 27/2 = 2 2 1/²7/2 ky वर 47 वर 60 (20) + 70 (35) = 10√75 dz dt 3650 = 10 √85 det 13√√58 17 dz dt ≈ 39.59 x² + y² = 2² X 60 y = 70 Choices √60²470² = 2² √√3600+4900 = 2² √8500 = z² 2 = 10 √ 85 a) 29.50 b) 34.78 c) 35.90 d) 39.59 ✓
Transcribed Image Text:One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels_north at 35 mph. At what rate is the distance between the cars changing at the instant the second car has been travelling for 3 hours? (source faculty. math. illinois.edu) solution: d=rt 4 Z X- dy dt x² + y² = 2² x(t) = 20t = 35 y(t) = 35 (t-1) 36 व dz dt = ? = 20 px dy + by dz 27/2 = 2 2 1/²7/2 ky वर 47 वर 60 (20) + 70 (35) = 10√75 dz dt 3650 = 10 √85 det 13√√58 17 dz dt ≈ 39.59 x² + y² = 2² X 60 y = 70 Choices √60²470² = 2² √√3600+4900 = 2² √8500 = z² 2 = 10 √ 85 a) 29.50 b) 34.78 c) 35.90 d) 39.59 ✓
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