A ship sets out to sail to a point 133 km due north. An unexpected storm blows the ship to a point 129 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

Q: A Coast Guard cutter detects an unidentified ship at a distance of 18.0 km in the direction 15.0°…

A: Given data: The distance is d=18.0 km. The velocity of the ship is v1=28.0 km/h. The velocity of…

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: The condition given in the question is plotted as given diagram.

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: You receive orders to sail due east for 24.6 mi to put your salvage ship directly over a sunken…

A:

Q: A plane leaves the airport in Galisteo and flies 170 km at 68.0 east of north; then it changes…

A: Given: A=170 km which is 68o east of north  B =230 km which is 36o south-east  Let R be the…

Q: A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

A:

Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: Step 1: Draw a diagram of the problem: Step 2: Based on our diagram, we can imagine 2 right…

Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…

A:

Q: A boat sails 12 miles in northwest direction, after which it changes the direction and sails 66…

A:

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

A: Given:-  The radius of the circular lake is R = 1.05 km  They start at the west side of the lake and…

Q: You drive 8.00 km in a straight line in a direction 25 degrees east of North. Find the distances…

A: Distance moved (d)= 8 km Direction of travel (θ) = 25 degree east of north

Q: Answer the problem with a complete step-by-step process or solution.  A ship sails 50 nautical…

A: Speed is given by rate of change of distance. In right angle triangle hypotenuse is square root of…

Q: A woman walks 139 m in the direction 59° east of north, then 177 m directly east. Find (a) the…

A:

Q: Submarine A leaves a port and stations itself at a distance 37 km to the northeast. Submarine B…

A: Given, Submarine A at a distance 37km to NorthEast Submarine B at a distance 37km to west

Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

A:

Q: The planet Jupiter has a radius of 43000 miles and rotates one revolution every 10 hours. What is…

A: The radius of Jupiter is given as The period of motion of Jupiter is

Q: A plane starts at one airport, flies 50km west and then turns to fly 200km in a direction that is 30…

A:

Q: In astronomy, a unit of distance is used called the Astronomical Unit. It is the average distance…

A: The given values with suitable variables are listed below. Here, c denotes the light speed and d…

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

A:

Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…

A:

Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: As per the question:

Q: A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0°…

A:

Q: A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of…

A:

Q: An ocean liner leaves New York City and travels 15.7° north of east for 145 km. How far east and how…

A:

Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

A:

Q: A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

A: Distance, velocity or speed, acceleration (uniform or non-uniform) are the parameters which are…

Q: A high-tech drone flies over Miami, FL in a direction 58.3° west of north with a speed of 30.2 km/h.…

A: Let v1 and v2 be the drone’s speed during the fly 58.30 west of north and due north respectively.…

Q: A red cross helicopter takes off from headquarters and flies 75 km at 30 degrees south of west.…

A:

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A: Actual displacement which the explorer had to travel = 5.5 km , due north first leg of displacement…

Q: A Coast Guard cutter detects an unidentified ship at a distanceof 20.0 km in the direction 15.0°…

A: (a) Consider the diagram below.

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 83.7 km/h…

A: Given information: The speed of the blue and the green boat is the same and is given by 83.7 km/h,…

Q: A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east…

A: Given value--- A car is driven east for a distance of 48 km, then north for 29 km, and then in a…

Q: A car is driven east for a distance of 42 km, then north for 25 km, and then in a direction 31° east…

A:

Q: A girl delivering newspapers covers her route by traveling 1.75 blocks west, 3.50 blocks north, and…

A: The distance travelled in the west direction is, x1=-1.75 blocks   The distance travelled in the…

Q: A person walks in the following pattern: 2.2 km north, then 2.9 km west, and finally 4.4 km south.…

A: Given:- A person walking a distance in the north direction is d1=2.2 km Then he walks in the west…

Q: The treasure map gives the following directions to the buried treasure: “Start at the old oak tree,…

A: Given: The distance along north is dN = 502 m The distance along the east is dE = 109 m The angle of…

Q: You receive orders to sail due east for 28.2 mi to put your salvage ship directly over a sunken…

A: The distance covered by you is:

Q: If you walk 38 steps at an angle of 76 (relative to the positive x-axis) and then turn and go 45…

A: Displacement is the shortest distance between two pointsIf an object moves from position r1 →to r2…

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

A:

Q: You pilot an airplane with the intent to fly 392 km in a direction 55.0° south of east from the…

A: Given that the distance is 392 km if flying in a direction 55 degrees south of east. Let this…

Q: An airplane has a cruising speed (speed of plane with respect to the air) of 567 mph. The wind is…

A: Velocity is a vector quantity. This means we have to pay attention to the angle between the…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.