Two cars leave an intersection where two perpendicular highways meet at time t = 0. The first car is driving north at 50 miles per hour. The second car is driving east at 70 miles per hour. How fast is the distance between the cars changing after 30 minutes?

Q: A plane leaves the airport flying due west at 440 mph while another plane leaves the same airport at…

A: Given that the plane A moves west at a speed of 440 mph Plane B moves South at a speed of 392 mph…

Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: Two cars leave the same point and travel on roads that are at right angles to each other. If the…

A: Let the distance travelled in 36 minutes by the first car A travelling at 45km/h is x and distance…

Q: A boy whose height is 3 feet plays at night with his shadow using flashlight as light source. With…

A: Here we have find the rate of change height of shadow of boy.

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Q: iA flashlight was left on the ground pointing at the wall 20 ft away and is turned on. In between…

A: Please refer the attached image for complete solution.

Q: Two cars start traveling from the same location. A blue car goes north at 30 mph and a red car goes…

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Q: A plane that is flying horizontally at an altitude of 7 kilometers and a speed of 680 kilometers per…

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Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

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Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

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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…

A: Information obtained from question: Let us consider two cars - Car X and Car Y 1. Speed at which car…

Q: Due north, James is walking towards a churro stand at a rate of 1.1 meters per second. Due east,…

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Q: Ichigo and Rukia are 30 meters apart along a N-S line, with Įchigo north of Rukia. They left their…

A: Solution: Consider the initial position of Ichigo and Rukia as they are separated by 30 meters apart…

Q: Elton John is standing 3 kilometers from a launchpad when a rocket blasts off. The rocket rises…

A: Differentiation of a variable is the rate of change of the variable. Differentiation of a function…

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

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Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: A helicopter flies parallel to the ground at an altitude of 1/2 kilometre and speed 2 kilometre per…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Definition used -        Pythagorean theorem - In a right angle triangle, The Square of the…

Q: After meeting at a point, Adam walks northward while Bakri walks eastward from their meeting point.…

A: Representing the given data as a diagram we get, Where O is the meeting point, A is the point where…

Q: Bikers A andB are traveling on perpendicular roads. At the same time, biker A is leaving the…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Given,Height of the helicopter from the ground (h) = 1/2 = 0.5 kmSpeed of the helicopter (s) = 2 km…

Q: A van starts off 152 miles directly north from the city of Springfield. It travels due east at a…

A: The distance between the van and the city of Springfield is 152 miles in the north direction. The…

Q: two ships leave port at the same time. one ship travels north at 37 mph and the other ship travels…

A:

Q: A streetlight is mounted on the top of a 15-foot tall pole. A 6ft tall woman walks away from the…

A:

Q: Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other…

A: Topic:- application of derivatives

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: Given Data: The distance of airplane 1 is: x=100 miles The speed of airplane 1 is: dxdt=400 miles/hr…

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A:

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: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Let t be the time taken by helicopter Speed = 2 km/min Horizontal distance = x = 2t km Vertical…

Q: Bikers A and B are traveling on perpendicular roads. At the same time, biker A is leaving the…

A: Let the distance of biker A from intersection be 'x' and biker B from intersection be 'y'given,…

Q: Two planes left the same airport traveling in opposite directions at 700 km/h and 750 km/h…

A: Given,         Two planes left the same airport traveling in opposite directions at 700 km/h…

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: Suppose that stuart is 6 feet tall and is talking towards a 20 foot streetlight at a rate of 6 feet…

A: The diagram for the given condition is shown below.

Q: Two railroad tracts are perpendicular with each other. At 12:00PM, there is a train on each track…

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Q: Car A is traveling north on a straight highway and car B is traveling west on a different straight…

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Q: A boy whose height is 3 feet plays at night with his shadow using flashlight as light source. With…

A:

Q: Ally and Austin begin walking from the same point. Ally is walking north at a speed of 2 m/s and 3.…

A: Given Ally is walking north at speed of 2 m/s Austin walking east at speed of 1 m/s let the…

Q: Jack and Jill start walking from the same point. Jack is walking north at a speed of 2 m/s and Jill…

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: Given, Two airplanes at the same altitude converging to a point as they fly at right angles to each…

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: Two buses leave a bus station at the same time. One travels north at 90 kmph. The second travels…

A: We will solve the following.

Q: Two people are at an elevator. At the same time one person starts to walk away from the elevator at…

A: Concept: Pythagorean theorem. X2+y2=z2

Q: Two taxicabs left the company's garage and traveled in opposite directions. One taxi leaves at 6 am…

A: Let at time t hours after 6 am they will be 225 km apart. Since one taxi's average speed is 60 kph…

Q: Two ships leave port at the same time. One travels north at 8 knots (that is, 8 nautical miles per…

A: Two ships leave port at the same time. One travels north at 8 knots (that is, 8 nautical miles per…

Q: Two boats leave the same port at the same time with one boat traveling north at 35 knots per hour…

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

A:

Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet…

A:

Q: Duterte and Bong Go on bikes are separated by 400 meters. Duterte starts riding north at a rate of 9…

A: