A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a rate of 3 miles per hour, find the resultant velocity of the boat.

Q: Two small planes approach an airport, one flying due west at 120 mi/hr and the other flying due…

A:

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

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…

A:

Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: Find the velocity v of an ocean freighter that is traveling 30° south of east at 30 km/hr.

A:

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

A:

Q: A kite 100 feet above the ground moves horizontally at a speed of 10ft/s. At what rate is the angle…

A: Let the horizontal distance be x. From the given data of question: And the diagram is:

Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

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

A:

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

A:

Q: If a cannonball is fired from a hillside 75 meters above ground with an initial velocity of 100…

A: Initial velocity = 100m/s  Fired from a hillside 75 m above ground Final velocity , v = 0

Q: A ship moving 8 mph sails north for 30 minutes then turns east. If a searchlight at the point of…

A:

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A: Let t= time in second d=distance Also, consider second skater time in second is t .

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 45 mi/h in 5…

A:

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

A:

Q: Find the velocity v of an ocean freighter that is traveling northeast (45° east of north) at 40…

A:

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: One car leaves a given point and travel north at 30 mph. Another car leaves 1 hour later, and travel…

A:

Q: A kite flies at a constant height of 30 meters above the ground in a wind that blows it horizontally…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the velocity, v, of the tip of the minute hand of a clock, if the hand is 8 cm long. cm per…

A: Given  r= 8 cm or 0.08 m  Calculate linear velocity (v) Formula for linear velocity is given by  V =…

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: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

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

A:

Q: A 75 kg box is pushed off of a 120 m tall building with an initial horizontal speed of 15 m/s. How…

A: We have to first sketch the given situation.

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A:

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

A:

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A:

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

A:

Q: Two buses are driving along parallel freeways that are 4 miles apart with one bus heading east and…

A: We draw the figure as, speed of bus B1 traveling to the east =70 m/h speed of bus B2  travelling…

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: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: What is the displacement of an object that travels at a constant velocity of 10 mi/hr for a half…

A: Consider the given information 10mihr for a half hour and  20mihr for a next half hour and 30mihr…

Q: A figure skater is sponning with her arms outstretched at an angular velocity of 76.4 revolutions…

A: Consider the given angular velocity  ω=76.4revolutionminute and radius r=90cm Convert unit…

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: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

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

A:

Q: An aircraft is climbing at a 300 angle to the horizontal. How fast is the aircraft gaining altitude…

A: An aircraft is climbing at a constant 30 degree angle to the horizontal and the speed is 500 mph…

Q: A computerized spin balance machine rotates a 25-inch-diameter tire at 480 revolutions per minute.…

A:

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

A:

Q: Assuming that moving away from the mailbox is the positive direction; if ăn object travels 20 metres…

A: Since you want it immediately solved below  I have explain the steps also  It is basic Physics

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

A: Explained below

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

A:

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

A:

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: 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…

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.