An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a car approaching at a speed of 4 m/sec is 12 meters up the street. Find the rate at which the LRT train and the car are separating two seconds later.

Q: A toy rocket is launched from ground level with the initial velocity of 96 ft./s  How many seconds…

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Q: Two capacitors with capacitance of 6 μF and 4 μF are connected in series across a 100 V dc source.…

A: Question- Two capacitors with capacitance of 6 μF and   4 μF are connected in series across a 100 V…

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A: Given: dxdt=7 and dydt=3

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A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

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Q: A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a…

A: Let D be the distance between boy and balloon. To find: dDdt after 3 sec later.

Q: A cannonball is fired directly upward from a height of 0 feet, with an initial velocity of 220 feet…

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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 17 m ladder is leaning against a wall and sliding towards the floor. The foot of the ladder is…

A: When height of ladder =17 m , top height = 15 , dxdt=7m/s

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

A:

Q: 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet…

A: From the question, Height of the man is 6 ft. Height of the street is 12 ft. y=The length of the…

Q: A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

A: solution is given below .

Q: A Plane (Plane A) travels North at a speed of 800 kph. after 15 minutes, another plane (plane B)…

A: Planes are moving same direction :

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A: The rate of change of a function at a value is equal to the derivative of the function at that…

Q: An airplane, flying horizontally at an altitude of 1km, passes directly over an observer. If the…

A: Given: y = altitude = 1km  constant speed of plane dx/dt = 240kph

Q: A bomb is dropped from a helicopter hovering at an altitude of 800 feet above the ground. From the…

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Q: A ladder 10 meters long leans against a wall. If the bottom of the ladder is being pulled away from…

A: .

Q: lamppost 6 m high at the rate of 1.3 m/sec. At what rate is the end of the person’s shadow moving…

A:

Q: A ladder is slipping down a vertical wall. If the ladder is 13 ft long and the top of it is slipping…

A: Given ,dydt=-2ft/s     negative sign because as ladder is slipping down, y decreasesby Pythagor…

Q: A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline…

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Q: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

A: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

Q: A ball is thrown upward from the ground with an initial speed of 25m/s. at the same instant, another…

A: Solution   Given a ball is thrown upward from the ground with an initial Same from Speed of 25m/s,…

Q: Water is flowing into a cylindrical tank at the rate of 2 m^3/min. If the radius of the tank is 0.5…

A: Water is flowing into a cylindrical tank at the rate of 2 m3/min.If the radius of the tank is 0.5 m,…

Q: A 15-foot teddy bear is leaning against a shelf. The top hand of the teddy bear is sliding down the…

A: Let horizontal distance= x ft , vertical distance= y ft Relation between x and y is: Given that…

Q: A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow…

A: Consider the given information

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: A man walks across a bridge at a rate of 4 fps as a boat passes directly beneath him at 8 fps. If…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The altitude (or height) of a triangle is increasing at a rate of 2.5cm/min while the area of the…

A: It is known that, the area of the triangle with the base b and altitude a is

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

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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: Sand is accumulating in a conical pile with a radius that is always 3 times its height. If the sand…

A: Given: A conical pile with radius 3 times its height. r=3h Rate of change of velocity of sand…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 25 feet high. If…

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

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Q: 7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Due north, Seokjin is walking towards the most famous spot in a park at a rate of 1.3 meters per…

A: We will solve the problem.

Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…

A: Given a tank contains 600 gallons  of salt water. Pure water flows into the tank at the rate of 7…

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: A ball is thrown vertically into the air at a velocity of 180 ft/sec. After 5 seconds, another ball…

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Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1o C for each…

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Q: A lighthouse is on a small island 4 km from the nearest point P on a straight shoreline. Its beacon…

A: Given: lighthouse is situated on a small island 4 km from point P   number of revolutions= 1…

Q: Water is flowing out of a cylindrical storage tank at a rate of 2 m3/min . If the tank has a radius…

A:

Q: A body is projected vertically upward such that is height from the ground in feet is h = 50t –…

A: Given, height from the ground in feet is h = 50t – 16.1t2 where t = time in flight in seconds The…

Q: Two people start from the same point. One walks east at 3mi/h and the other walks northeast at…

A:

Q: A 5m long ladder has its upper end leaning against a vertical wall and lower end on a perfectly…

A: To determine the rate at which the ladder is moving down in cm/sec when the lower end is 3 m away…

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: We can sketch the situation roughly as follows. Here, CE and DF both are the positions of the…

Q: A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the same…

A: Given: A car starting at 12:00 noon travels west at a speed of 30 kph. Another car starting from the…