One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel west at 40 mph. At what rate is the distance between the cars changing at the instant the second car has been traveling for one hour?

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: Your car is traveling 50 miles per hour due south and is half a mile north of an inter-section. A…

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Q: Two people are walking toward a statue. Alex is 200 m East and walking at a rate of 3 m/s. Charley…

A: The rate at which Alex walking is dxdt = -3 m/s when he is at 200 m East i.e., x=200 m The rate at…

Q: airplane flying to the Dominican Republic has an altitude of 31,000 feet and is ascending at a…

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Q: Two cyclists are travelling on a grid. At noon, cyclist A is 10 km west of cyclist B. Cyclist A is…

A: Given  At noon, cyclist A is 10 km west of cyclist B.  Cyclist A is travelling west at 10 km per…

Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing…

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Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the…

A: topic - application of derivatives

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

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Q: At the Dallas-Fort Worth International Airport a DC- 10 at 4500 feet is descending toward the east…

A: Please find the solution below: