Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B traveled 80kph eastward. After 30 minutes, how fast is the distance between the two cars is changing? A 100kph B) 70kph 140kph 50kph

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 rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: An explosion is recorded by two microphones that are 2 miles apart. M1 receives the sound 3 seconds…

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Q: The minute hand on a watch is 6 mm long and the hour hand is 4 mm long. How fast is the distance…

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Q: A ladder 15 ft long leans against a vertical wall. If the top slides down at the rate of 2 ft per…

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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: A ladder that is 3 meters long is leaning against a wall. The base of the ladder slides away from…

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Q: fast is the distance between the two cars changing?

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Q: A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins to slide…

A: Given that A 10 foot ladder is leaning against a wall, with its base 3 feet from the wall. It begins…

Q: A ladder 25 ft long is leaning against a wall. If the bottom of the ladder is pulled 10.…

A: We need to find change in angle.

Q: A trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feeta cross…

A: To find: The rate of incresing level of the water. Given information: The trough is 10 feet long…

Q: When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per…

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Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

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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: An explosion is recorded by two microphones that are 1 mile apart. Microphone M1 received the sound…

A: Given that sound travels at 1100 feet per second. Also, M1 received the sound 2 seconds before M2,…

Q: An 8 ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

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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: A baseball diamond has equal sides of 90 ft in length and each pair of adjacent sides are…

A: We will use vector projection and project the velocity vectors of B and C along the line joining…

Q: The minute hand of a clock is 8 cm long, and the hour hand is 5 cm long. How fast is the distance…

A:

Q: An explosion is recorded by two microphones that are 2 miles apart. Microphone M2 received the sound…

A: Given that:M1 and M2 are the two microphones.The two microphones are 2 miles apart.Sound travels at…

Q: An automobile weighing 5500 lb is driven down a 5° incline at a speed 60 mi/h when the brakes are…

A: Weight of the automobile = 5500 lb (pound-mass) = 2494.758 kg Velocity of the automobile = 60 mi/h =…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 20 feet high. If…

A: Hair we have to apply the application of derivative rates of change

Q: A ball is dropped from the top of a building 400 ft high.How long does it take to reach the ground?…

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Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: A conical water tank with vertex down has a radius of 10 ft at the top and is 24 ft high. If water…

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

A:

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

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

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Q: woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is…

A: SOLUTION-

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A: Let the height of the rocket be h and the angle of elevation from the observer’s eye is x.

Q: An 8 ft. ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall…

A:

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

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

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Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

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Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: When a rocket is 3 kilometers high, it is moving vertically upward at a speed of 400 kilometers per…

A:

Q: A ladder 15 ft. long leans against a vertical wall. If the top slides down at 2 ft/sec, how fast is…

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Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

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: A 7 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per…

A: Given Length of snake = 7 feet Speed of snake = 23feet per second We need to calculate the rate at…

Q: A conical water tower with vertex down has a radius of 10 ft at the top and is 22 ft high. If water…

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Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

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: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

A: An explosion is recorded by two microphones that are 2 miles apart. Microphone M1 received the sound…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

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Q: A street light is at the top of a 11.0 ft. tall pole. A man 5.8 ft tall walks away from the pole…

A: Given : Height of pole h = 11.0 ft Height of man = 5.8 ft  Man walks away from pole with the speed…

Q: A ladder 9 ft long rests agains a vertical wall. If the bottom of the ladder slides away from the…

A: Let the distance between base B of the wall and bottom of the ladder C, BC= x feet  And the angle…

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its…

A: Given is the retardation equal to square root of velocity. WE need to find time t it will take to…

Q: Find how fast the area of a triangle increases as the length of the base of the triangle increases…

A: