The submarine U.S.S. Dallas shoots a torpedo at the Soviet submarine V.K. Konovalov, which is 6732 meters distant.  The Konovalov cannot run away because it has had a reactor accident.  After being ejected from the torpedo tube with an initial speed of 3.94 m/s, the torpedo accelerates with a constant acceleration of +0.196 m/s2 for 95.7 s, after which it continues on with uniform motion. (a) What is the total time required for the torpedo to reach the Konovalov from the moment it was launched? (answer: 336 s) (b) After the torpedo reaches its final speed, by how much does the distance between it and the Konovalov decrease in ten seconds? (answer: 227 m)

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Q: A rocket, rising vertically, is tracked by a radar station that is on the ground 5 mi from the…

A: Given that: Rate of increase of distance from radar station = 2000 mi/hDistance between radar…

Q: A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96…

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

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

Q: 4. Saturn has mass 95 times that of the Earth and 9.5 times of its radius. From this data, (a)…

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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 13-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 3…

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Q: If a particle starts from rest, what constant acceleration is required to move the particle 50 mm in…

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Q: A barge takes 3 hours to move (at a constant rate) downstream for 21 miles, helped by a current of 2…

A: To solve the following problem

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: The kinetic energy K of a movingobject varies jointly with its mass m and the square of itsvelocity…

A: Given, The kinetic energy K of a movingobject varies jointly with its mass m and the square of…

Q: Zoologists studying the ecology of the Serengeti Plain estimate that the average adult cheetah can…

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Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: An auto A is moving at 20 ft/s and accelerating at 5 ft/s2 to overtake an auto B which is 384 ft…

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Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

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Q: How fast is a 1.5g bullet moving if it has a momentum of 1.2kg m/s?

A: If the particle has mass m kg and moving at a velocity of v m/s Then the momentum of the particle is…

Q: Two cyclists are travelling on a grid. At noon, cyclist A is 10 km west of cyclist B. Cyclist A is…

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: he measurement of the radius of the end of a log is found to be 20 inches, with a possible error…

A: Given that: Radius of log, r=20 inError in measuring radius, dr=18 in

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, 1.65 m tall is walking on a horizontal street at 2.3 kph away from a vertical street light,…

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Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

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Q: A lighthouse is located on a small island 4km away from the nearest point P on a straight shoreline,…

A:

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

A: Given a lighthouse which is located on a small island 3 km away from the nearest point P

Q: A race car starts from rest and speeds uniformly to the right until it reaches a maximum velocity of…

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Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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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: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

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Q: When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon to demonstrate that…

A: An astronaut dropped a hammer and feather on the moon.These are dropped from about 4 ft above the…

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: At noon a car starts from rest at point A and proceeds with constant acceleration along a straight…

A:

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2, where k is a…

A: Use simple velocity, distance, acceleration formula.

Q: Suppose a woman has enough “spring” in her legs to jump (on earth) from the ground to a height of…

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Q: A girl is using a straw to drink coke from a right cylindrical glass at a rate of 6 cubic…

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Q: A cyclist riding at 5ms- 1 starts to accelerate, and 200 metres later she is riding at 7ms- 1. Find…

A: We know that the Third Equation of motion is    → v2 = u2 + 2as    ;     Where v = final velocity…

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

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Q: What is the difference between an object with constant acceleration and an object with constant…

A: Solution: The objective is to determine the difference between an object with constant acceleration…

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a…

A: Given Constant Velocity u=19.5 m/sInitial mass mo=0.7kgGravity g=9.81 ms-2Time t=0.3 second,…

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: A 30 foot ladder is resting against a vertical wall, with its other end on horizontal ground, with…

A:

Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: When the velocity v of an object is very large, the magnitude of the force due to air resistance is…

A: Consider the provided question, Given , mass of the shell = 2 kg Acceleration due to gravity = 9.81…

Q: A spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at…

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Q: A ladder 13 meters long is leaning against a wall. If the bottom of the ladder is being pushed…

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Q: Two cars are traveling along a straight-line in the same direction, the lead car at 25.0 m/s and the…

A: Consider the given: Initial Speed of the lead car (uL)=25.0 m/sFinal Speed of the lead car (vL)=0…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.