In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0º north of west; then 4.70 km 60.0º south of east; then 1.30 km 25.0º south of west; then 5.10 km straight east; then 1.70 km 5.00º east of north; then 7.20 km 55.0º south of west; and finally 2.80 km 10.0º north of east. What is his final position relative to the island?

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

A: a) So, the x component of R is  Rx=Ix+Zx+Ax+LxRx=20cos45+-14+-12.5 sin…

Q: In an attempt to escape his island, Gilligan builds a raft and sets it to sea. The wind shifts a…

A: Gilligan is at the initial point and other positions are given respectively as, A=2.5 km at…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2.00i^ + 6.00j^B→ = 3.00i^ - 2.00j^

Q: A secret agent skis off a slope inclined at θ = 29 degrees below horizontal at a speed of v0 = 19.5…

A: Given: slope θ = 29o. speed of an agent vo = 19.5 m/s height h = 18.8 m

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: A sailboat leaves a harbor and sails 1.8 km in the direction 65° south of east, where the captain…

A: Given that,  Displacement d1=1.8 km in the south of east Angle θ1= 65° Displacemnt d2=1.1 kmin the…

Q: A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp. On the second…

A:

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 99.5 km/h…

A:

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2i^ + 6j^B→ = 3i^ - 2j^

Q: A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle…

A: Given that, The initial position of the person, xi is 0 m. The final position of the person, xf is…

Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: The given distances travelled with respect to x-axis are,

Q: A basketball player runs 7.00 m due north, then 5.00 m in a direction 300 north of west, and finally…

A: given A = 7 m, North          B = 5m, 300 North of west           C = 8 m , east

Q: A boy named Jose walks westward for 5 km and then northward for 5 km and then 5 km southwest. How…

A:

Q: A cannonball is launched from ground level with an initial speed of v0 straight up in the air What…

A: Given,  Initial speed of the cannon ball, vo The speed of the cannon ball when it reaches height h…

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: A secret agent skis off a slope inclined at θ = 28.3 degrees below horizontal at a speed of v0 =…

A:

Q: it strikes the A) 34.3 B) 24.3 C) 19.6 D) 14.3 E) 8.3 3) A ball is kicked from ground level with a…

A:

Q: A car starts at the origin and travels 5 km to the north, then 3 km to the west, then 4 km to the…

A:

Q: After an airplane takes off, it travels 11.5 km west, 9.2 km north, and 3.2 km up. How far is it…

A: Plane travels 11.5 km west, 9.2 km north, and 3.2 km up or gains height.

Q: A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and finally,…

A: As per given data we have the diagram as shown below.

Q: An airplane heads due east at 110 m/s through a 25 m/s cross wind blowing from north to south. The…

A: Note: As per Bartleby's rule, only one question should be answered. Kindly resubmit the other…

Q: An airplane heads due north at 120 m/s through a 30 m/s cross wind blowing from east to west. The…

A: Write the velocity components for the plane. Write the velocity components for the wind.

Q: Let V→V→ = 2.00 iˆi^ +6.00 jˆj^ -3.00 kˆk^ . The magnitude of V→V→ is

A: The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is…

Q: 7. An object is propelled upward at an angle 45° s x < 90°, to the horizontal with an initial…

A:

Q: 5. Four members of the Main Street Bicycle Club meet at a certain intersection on Main Street. The…

A:

Q: 3. A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and…

A: Solution:-

Q: A car goes east at 90 km/h for 0.75 hours, and then turns on a road heading 30° north of east at 88…

A: Given data The speed of the car in the east direction is vOA = 90 km/h The duration of the car…

Q: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind…

A: Consider the diagram below.

Q: A cannon ball is fired from ground level with a speed of 430 m/s at an angle of 37.0° to the…

A: Given data:   Initial velocity (Vi) = 430 m/s Angle (θ) = 37.0° Air resistance is negligible…

Q: 1. In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a…

A: Gilligan is at the initial point and other positions are given respectively as, A = 2.50 km at…

Q: N VBR 3 60 45° FBE W -E VRE S The river is flowing east at 5.00 km/h and the boat is traveling 45.0°…

A: We split the velocities of the river and the boat into X- and Y-components. Then we find the net…

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: d1 = 2.5 km @45o north of west d2 = 4.70 km@60o south of east d3 = 5.1 km due east d4 = 7.2 km @55o…

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: →d1 = 2.5 (-cos(45)i^ + sin(45)j^) = -1.77 i^ + 1.77 j^ km →d2 = 4.7 (+cos(60)i^ - sin(60)j^) = 2.35…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→=2 i^ + 6 j^B→ = 3 i^ - 2 j^ (a)  A→ +B→ =2 i^ + 6 j^ + 3 i^ - 2 j^ = 5 i^ + 4 j^ The magnitude is…

Q: An airplane heads due south at 140 m/s through a 20 m/s cross wind blowing from west to east. The…

A: Write the velocity components for the plane. Write the velocity components for the wind.

Q: A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving…

A:

Q: The water in a river flows downstream at 3.0 m/s. A boat is motoring upstream against the flow at…

A: To determine the boat’s speed relative to the riverbank,

Q: A paper airplane is given a push so that it could fly 1.2m/s 41.6 degrees north of east, but there…

A:

Q: A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving…

A: The range of the object is, R=v02 sin2θg   Substitute, R=42.3 m/s2 sin227.7°9.8 m/s2=150.30 m

Q: A secret agent skis off a slope inclined at θ = 31.5 degrees below horizontal at a speed of v0 =…

A:

Q: In an attempt to escape his island, Gilligan builds a raftand sets to sea. The wind shifts a great…

A: The vector diagram for the plane is given below.

Q: An airplane heads due south at 140 m/s through a 20 m/s cross wind blowing from west to east. The…

A:

Q: An airplane left an airport and flew 105 mi in the direction of North 50.4000 deg E, then turned and…

A:

Q: From the quantities given, please select all that would be categorized as vectors. 20 m/s; south 10…

A: vector quantity A vector quantity has both direction and magnitudes.  Scalar quantity: A quantity…

Q: Consider a jogger running to temporarily escape the lockdown in Los Angeles. They begin by running…

A:

Q: A person starts from his home and walks the following distances: i) 200 m, due north ii) 180 m,…

A: There are two errors in the solution One being, The value of 180cos(30) = 155.885m  Here the the…

Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: Gilligan’s displacement is characterized by 7 vectors. To determine his final position relative to…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.