2. An explosion is recorded by two microphones that are 2 miles apart. Microphone M, received the sound 3 seconds before microphone M2. Assuming sound travels at 1100 ft/s, determine the possible locations of the explosion relative to the location of the microphones.

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A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to - 6x +24x2- 2x 5) da…

A: The integral value of this function is 687.5.

Q: (b) If its' owner uses 3 pipes of radius 4cm, with water flowing at a rate of 30cm/s, how long will…

A: (a) Area of circuler face= pi*r2  =pi*102 = 314 cm2.                    (pi=3.14)

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: If 27 J of work are needed to stretch a spring from 13 cm to 19 cm and 45 J are needed to stretch it…

A: Given: Work done to stretch spring from 13cm to 19cm = 27J Work doen to stretch spring from 19cm to…

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A:

Q: The side of an equilateral triangle is increasing at a rate of 2 m/sec, then the rate at which its…

A:

Q: A 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that weighs 4 oz/ft.…

A: Given that, a 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that…

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A: Let t be the time taken by the ball to reach the ground and the velocity of the ball is v. Now, the…

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A: Let y m be the height of the slider and x m be the foot of the rod away from the slider. Then,  by…

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A: Given: n =  48.0x = 12.0 one third of Starbucks outlets are located in close proximity to another…

Q: If 6 J of work is needed to stretch a spring from 10 cm to12 cm and another 10 J is needed to…

A:

Q: A particle has a velocity at time of 4, + 2t meters per minute, where is in minutes. Estimate how…

A: To find the distance traveled using 4 intervals

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A: We are using speed=distance/time And the Pythagoras Theorem.

Q: A certain escalator travels at a rate of 13.4 meters per minute, and its angle of inclination is…

A: So from the triangle we have: Answer(a): Vertical component of the velocity is 6.1667 meters per…

Q: If the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work…

A:

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

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A:

Q: A trough is 10 ft long and its ends have the shape of isoscelestriangles that are 3 ft across at the…

A:

Q: The A string on a violin has a fundamental frequency of 440 Hz. The length of the vibrating portion…

A: Given :Length of the vibrating portion = 32.8 cmMass= 0.343 gLength= 32.8 cm

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

Q: A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with…

A:

Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at…

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Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A:

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…

Q: If 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to…

A: let L is the natural length (actual length) of the spring. Now if the force (f) produces…

Q: An automobile with 0.310 m radius tires travels 95,000 km before wearing them out. How many…

A: An automobile with 0.310m radius tires travels 95,000km before wearing them out. We have to find how…

Q: Car A is 40 km east of Car B and begins moving west at 40 km/h. At the same moment, Car B begins to…

A: Answer is in below steps.

Q: If the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work…

A: Given that the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb.

Q: If the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work…

A: Solution: the objective is to find the work needed to stretch it 9 in beyond its natural length

Q: A river 100 ft wide is flowing north at w feet per second. A dog starts at (100, 0) and swims at vo…

A:

Q: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.09…

A:

Q: A ball is thrown at an downward angle of 36.3 deg. from the horizontal at 43.4 m/s from a height of…

A: Explanation: Given that,  h = 36.9 m Downward angle: θ=36.3° vo=43.4 m/s   Concept Used: Horizontal…

Q: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in. Estimate the…

A: Given: The radius of a circle is measured as 4.87 in., with a possible error of ±0.040 in.

Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

A:

Q: If the base h of a triangle is increasing at a rate of 3 inches per minute while its height h is…

A: Area of a triangle of base b and height h is given as, A=12bh The derivative of area with respect to…

Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

A:

Q: A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle…

A: Using triangle find angle then find the rate of change of angle

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A: From  the given problem:   w=12 ft-lb   From the expression of work done:   w=∫xixfFxdx   From the…

Q: The volume of a cube is increasing at a rate of 68 in3/sec. At what rate is the length of each edge…

A: Given Volume of cube increasing at a rate of 68 in3/ secTo the rate of change of length of each edge…

Q: If a 250 meters long train is traveling at an average speed of 60 kph, how long it would take that…

A: According to the question, Speed of train 60 kph To convert the speed of train in meter per second,…

Q: If 24 J of work are needed to stretch a spring from 15 cm to 19 cm and 40 J are needed to stretch it…

A:

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: 2. A single-lane street 10ft wide goes through a semicircular tunnel with radius 9ft. How high is…

A:

Q: If. the.work.required to stretch a spring 3 ft beyond its natural length is 9 ft-lb, how much work…

A: We have the relation,   Work = ∫abfdx Where f is the force and dx is the distance. According to…

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