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Runners stand at first and second base in a baseball game. At the moment a ball is hit, the runner on first runs to second base at 18 ft/s; simultaneously, the runner on second base runs to ird at 20 ft/s. How fast is the distance between the runners changing 1 second after the ball is hit? (Hint: The distance between consecutive bases is 90 feet and the bases lie at the rners of a square.)

Runners stand at first and second base in a baseball game. At the moment a ball is hit, the runner on first runs to second base at 18 ft/s; simultaneously, the runner on second base runs to ird at 20 ft/s. How fast is the distance between the runners changing 1 second after the ball is hit? (Hint: The distance between consecutive bases is 90 feet and the bases lie at the rners of a square.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Section 3.11: 1. Two cars start moving at the same point. One travels south at 60 mi/hr and the other travels west at 25 mi/hr. At what rate is the distance between the cars increasing two hours later? 2. The sides of an equilateral tringle are increasing at a rate of 10 cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? 3. Runners stand at first and second base in a baseball game. At the moment a ball is hit, the runner on first runs to second base at 18 ft/s; simultaneously, the runner on second base runs to third at 20 ft/s. How fast is the distance between the runners changing 1 second after the ball is hit? (Hint: The distance between consecutive bases is 90 feet and the bases lie at the corners of a square.)
Transcribed Image Text:Section 3.11: 1. Two cars start moving at the same point. One travels south at 60 mi/hr and the other travels west at 25 mi/hr. At what rate is the distance between the cars increasing two hours later? 2. The sides of an equilateral tringle are increasing at a rate of 10 cm/min. At what rate is the area of the triangle increasing when the sides are 30 cm long? 3. Runners stand at first and second base in a baseball game. At the moment a ball is hit, the runner on first runs to second base at 18 ft/s; simultaneously, the runner on second base runs to third at 20 ft/s. How fast is the distance between the runners changing 1 second after the ball is hit? (Hint: The distance between consecutive bases is 90 feet and the bases lie at the corners of a square.)
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