f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are headed for an intersection. At what rate are the vehicles approaching each other when the truck is 1 km from the intersection while the car is 2 km from the intersection?

Q: A ship started at a certain port and travelled N 48° E at the rate of 32 kph. After 1.5 hours, a…

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Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

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Q: A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr.…

A: Draw the position of kite as shown below.

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Q: The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: Let's find rate of area increasing when W=4cm and l=10cm.

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

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Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

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A: Let the time at 2:00 Pm be t  The two ships will form a right angled triangle, with horizontal side…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: We have  height of pulley =1 m rate of approach =1 m/s We can assume a triangle as Where x as base…

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

A: The rate at which the distance between bus and van is changing is solved below

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A: Given that, Two trucks, one traveling west and the other traveling south, are approaching an…

Q: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

A: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

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Q: A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) Let the initial position of the car be at the origin. Take the x-axis from west to east and the…

Q: Ship A is sailing due south at 16 mi/h, and ship B, 32 miles south of A, is sailing due east at 12…

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Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: At noon Person A is 15 km east of person b. person A is walking west at 3km/h, and person b is…

A: initially A and B apart 15 km apart that  person A moves towards west at rate (da/dt) = 3 km/hr…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: Two boats leave a port at the same time: one travels west at 20 mi/hr and the other travels south at…

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Q: The intensity of illumination at any point from a light source is proportional to the square of the…

A: Given that The intensity of illumination at any point from a light source is proportionalto the…

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Q: A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen…

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Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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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 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: udent is walk

A: Here it is given that,  A student is walking towards the foot of a flagpole 20 meters high at the…

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: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

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Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

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Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: The dock is 1m higher than the bow of the boat. Pulled rate of the rope of 1.4m/s To calculate the…

Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

Q: 2. Leanne is travelling at 13 km/hr. Fernando is moving at 3-5 m/s. Who is travelling faster?

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: A moving sidewalk at an airport moves at a rate of 1.6​ft/sec. Walking on the moving​ sidewalk, a…

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Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: c) Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and…

A: (In this figure, P is the point mentioned in the question, which is at some distance from ship A and…

Q: Car A is traveling west at 50 mih and car B is traveling north at60 mih. Both are headed for the…

A: Since, we have been given that Car A is travelling west at 50 mi/hand Car B is travelling north at…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Consider the following:

Q: Ship A is 70 km west of ship B and is sailing south at the rate of 25 kph. Ship B is sailing north…

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Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph

Q: Ship A is 15 miles east of P and moving west at 20 mi/hr; ship B is 60 miles south of P and moving…

A: Given data: The speed of  A is dxdt=-20 mph. The speed of  B is dydt=15 mph. Position of A is xA=15…