Two cars start moving from the same point. One travels south at 60 km/h and the other travels west at 80 km/h. At what rate is the distance between the cars increasing two hours later?

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Given  Speed of first car =48 mi/h towards south Speed of second car =20 mi/h towards west

Q: Two small planes approach an airport, one flying due west at 120 mi/hr and the other flying due…

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Q: Two people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

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Q: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m., another…

A: Given: An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m.,…

Q: An airliner passes over an airport at noon traveling 510 mi / hr due east. At 1:00 p.m., another…

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: A 4.5 ft tall man is walking away from a 25 ft tall lamp post.  If he is walking at a rate of 2…

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Q: A 6 foot tall man is walking at a rate of 40 metres per minute directly away from a wall with a…

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Q: A ship moving 8 mph sails north for 30 minutes then turns east. If a searchlight at the point of…

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Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A: Let t= time in second d=distance Also, consider second skater time in second is t .

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: In first question we find out dz/dt .and in 2nd question first we put dy/dx=0 for extreme values.and…

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

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Q: Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other…

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Q: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel…

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from the light that is 15 feet above the…

A: Consider the given:

Q: 16 mi/h and the other travels west at 12 mi/h. At wha

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Q: An airplane at an altitude of 35,000 feet begins descending at a rate of 2,000 feet per minute. How…

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Q: Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at…

A: • Distance travelled = Speed × time • The rate of change of the distance between the two runners can…

Q: Two runners start moving from the same point. One runs north at 8 km/hr and the other runs east at 6…

A: Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the squares of…

Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 49 km/h…

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Q: Two buses are driving along parallel freeways that are 20 mi apart, one heading east and the other…

A: In right angle triangle , B2  + P2 = H2   ( Using Pythagoras Theorem ) Where B is base , P is…

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: A van is 5km due north of a bus at 2:00PM. If the van is traveling northward at the rate of 60 kph…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h…

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Q: Mervin and Leela are in bumper cars. They are at opposite ends of a 100-meter track heading toward…

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Q: There are 100 bacteria cells in a dish now, but in 5 hours there will be 147 cells. At what rate do…

A: There are 100 bacteria at initial time t=0. In 5 hours that is when t=5, there will be 147 cells. In…

Q: If Ahmet travels half of the road at 90 km/h in 1 hour and the remaining half at 60 km/h, his…

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Q: A man rows up a stream 4 ½ hours and finds that it requires only 2 ½ hours down the stream. If he…

A: To find: The rate of current. Given: A person rows up a stream 412 hours and 212 hours to down the…

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

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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: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A: Here I am attaching image so that you understand each and every step.

Q: Two buses are driving along parallel freeways that are 4 miles apart with one bus heading east and…

A: We draw the figure as, speed of bus B1 traveling to the east =70 m/h speed of bus B2  travelling…

Q: C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south…

A: We use Pythagoras theorem

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 494 mi/h and…

A: Point A represents position of airplane A. Point B represents position of airplane B.Point C…

Q: At what rate is the distance between Jack and Jill changing if Jack is 3 miles from the bakery and…

A: Given:         To determine:

Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A: distance between cars is charging at a rate of 50 mph detailed solution with explanation is given…

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: Car B starts 30 miles directly east of car A and begins moving west at 90 mph. At the same moment…

A: We construct a triangle as shown below.

Q: Two cyclists, 90 mi apart, start riding toward each other at the same time. One cycles twice as fast…

A: Given that, the distance between two cyclists is 90 mi, and one cycles twice as fast as the other…

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

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

Q: Two cars start moving from the same point. One travels south at 84 mi/h and the other travels west…

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Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

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Q: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

A: Let's find rate of change distance between the cars changing at the instant the second car has been…

Q: Two cyclists, 48 mi apart, start riding towards each other at the same time. One cycles twice as…

A: Given that two cyclists is 48mi apart riding towards each other at the same time and one cycle is…

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

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Q: One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A: Assuming that car are travelling along the y-axis and x-axis respectively.The position of cars is…

Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

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