A train is moving due west at a constant speed. A passenger notes that it takes 10 minutes to travel 12 km. What is the velocity of the train?

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is…

A: We have, A 5 feet 6 inches (5.5 feet) tall man is walking away from the lamppost of height 12 feet…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: A mixing blade on a food processor extends out 3 inches from its center. If the blade is turning at…

A: Given: A mixing blade on a food processor extends out 3 inches from its center. That is,…

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top…

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the…

A: Projectile motion

Q: A stationary submarine is 2 km due south of a ship which is steaming due east at a speed of 20 km/h.…

A: please see the next step for solution

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

A:

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: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

A:

Q: A train 220 m long is running with a speed of 59 kmph . In what time wil it pass a man who is…

A:

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

A:

Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

A:

Q: The horizontal and vertical components of the velocity of an arrow shot into the air are 16.1 feet…

A: To Determine: The horizontal and vertical components of the velocity of an arrow shot into the air…

Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 25 km/h and ship B is sailing…

A: The below diagram represents the pictorial representation of the given problem.The position of the…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A: Given            The pressure at 70 feet=140

Q: 10. A stone is dropped from the top of a building 1024 ft. high. When does it hit the ground and…

A: Solution : We have given that a stone is dropped from the top of a building 1024 ft. high. And we…

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

A:

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

A:

Q: A volunteer knits a 5-foot long scarf at a constant rate. After 4 hours, the volunteer still has to…

A:

Q: How far will an aircraft travel in 7 minutes, 12 seconds with a groundspeed of 125 knots?

A: The length of a path between two points is called distance.

Q: Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m…

A: We will use the formula v=u+at Where, t=time in seconds= 5 v= velocity after t seconds  u=initial…

Q: A boat travels 20 km upstream in a river in the same period of time as it takes to travel 30 km…

A:

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…

A:

Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

A:

Q: A passenger is traveling on a luxury train that is moving west at 80 mph (miles per hour). While…

A: A passenger is travelling on a luxury train that is moving west at 80mph . While running the…

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

A:

Q: A parachutist of mass 52.4 kg jumps out of a stationary hot air balloon. Use the equation in photo…

A: Introduction: When an equation is given, we can determine the function value by putting different…

Q: What is the velocity of an object falling from 6m high cliff?

A:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

Q: A carousel has a radius of 17 feet and takes 28 seconds to make one complete revolution. What is the…

A: Given that the radaius of circle (r)= 17 feettime taken to complete one revolution =28 secThe…

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: The velocity v of a falling object varies directly to the time, t, of the fall. If after 2 seconds,…

A:

Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A: We have to find given value....

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Consider the average velocity of plane be v and average velocity of wind be w. When the plane is…

Q: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane flies in…

A: Given: When a plane flies with the wind, it can travel 1600 kilometers in 2 hours. When the plane…

Q: Find the velocity

A:

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: A 2,792.1 Hz sound has a velocity of 5100 m/s in glass and 5940 m/s in steel. The wavelength (m) of…

A:

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -105 feet per…

A: Given,           A stone is dropped from the edge of a roof, and hits the ground with            a…

Q: The distance a ball rolls down an inclined plane is directly proportional to the square of the times…

A:

Q: Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet…

A:

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

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: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road…

A: the car is at the position A at the start.  it travelled in the East direction that is from A to B .…

Q: escape velocity

A: We shall assume an initial velocity in a radial direction so that the motion of the particle takes…

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.