A minivan travels straight north in the right lane of a divided highway at 28.0 m/s. A camper passes the minivan and then changes from the left lane into the right lane. As it does so, the camper’s path on the road is a straight displacement at 8.50° east of north. To avoid cutting off the minivan, the north–south distance between the camper’s back bumper and the minivan’sfront bumper should not decrease. (a) Can the camper be driven to satisfy this requirement? (b) Explain your answer.

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

A: XA = 50Cos45° i = 35.35 i  m  YA = 50Sin45° j = 35.35 j  m  XB = -180Cos72° i  = -55.62 i  m  YB =…

Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of eas

A: Given: The magnitude of the vector is 73 cm. The direction of the vector is 41o South of East. The…

Q: A truck travelsdue East for a distance of 1.1km, turns around and goes due west for 6km, and finally…

A: Move towards east = 1.1 km.Turn around and move towards west = 6 kmTurn around and move towards east…

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

A:

Q: A runner first runs a displacement A of 3.30 km due south, and then a second displacement B that…

A:

Q: Convert these vectors to scale: Vector A= 20 km, 30° N of E Vector B 15 km, 20° W of S Vector C= 25…

A:

Q: Kentoy is walking 10km North and then 5km West in going to the market from his house. What is the…

A:

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

A: Given data: A=50 m Northeast B=180 m 720Northwest C=150 m South

Q: A novice golfer in the green takes three strokes to dunk the ball. The successful displacement of…

A:

Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: Vector.

Q: Erik and Manuel drive at a compass heading of 270 west of south for 18 km to Trece Martires, then…

A: Resultant of two or more than two vector can be determined by resolving the vectors into its…

Q: A fishing boat heads due northwest at 20.0 m/s across a river with 140° that flows due southeast at…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

A:

Q: What is the magnitude of the resultant of these vectors 100 N due south and 100 N 30° north of west

A:

Q: Estimate the magnitude and direction of the resultant given the following vectors. A = 10 steps,…

A: We have two vector A = 10 steps, due East B = 16 steps, 60° South of East

Q: What is the resultant of vector A=5m West, B=10m 30° South of West and C=15m South using component…

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along…

A:

Q: A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0…

A:

Q: The route followed by a hiker consists of three displacement vectors A→ , B→ , and C→ . Vector A→ is…

A: Let B and C be the vector  And A = 1550 m  in magnitude  In vector form , the three vector is…

Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: A person walks 33.0° north of east for 2.30 km. How far due north and how far due east would she…

A: In the picture, AB = 2.30 km He has to travel AC along east and BC along north

Q: A motor vehicle travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find…

A: Given: Motor vehicle travels 20 km along north & turns 60∘west for 35 km.

Q: 62. GO A pilot flies her route in two straight-line segments. The displace- ment vector A for the…

A:

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

A:

Q: Ising drives her car 30km West before making a turn and driving 40km towards South. What is the…

A: The diagrammatic representation of given displacement vectors and resultant vector is shown:

Q: A skater glides along a circular path of radius 5.20 m. (a) If he coasts around one half of the…

A:

Q: An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the…

A: The total displacement x direction,

Q: A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km…

A: Draw the vector diagram for the complete trip.

Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

A:

Q: A woman walks 250 m in the direction 30° east of north, then 175 m directly east. Find (a) the…

A: Given Woman walks 250 m in the direction 30° East of North then 175 m directly east .

Q: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Q: A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a…

A:

Q: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

A:

Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

A: A=50 m NEx- componentAx=50 m cos45°=35.355 my-componentAy=50 m sin45°=35.355 mB=180 m 72° NWx-…

Q: A commuter plane starts frem in the figure . A, located 175 Km awan airport & takes the route shown…

A: The given commuter plane starts from the airport, located at the origin of the co-ordinate system.…

Q: as a test of orienteering skills, your physics class holds a contest in a large open field. Each…

A:

Q: In 2020, after distributing relief goods in a village for Typhoon-Rolly victims, a social worker…

A: Let S1= 25 km, 30 south of west S2=  30 km , due North

Q: An archaeologist is surveying a cave. She follows a passage 150 m west, then 110 m southeast, and…

A:

Q: A man runs 5km due to east, 6km due to west and then 1km due to north. Determine its magnitude…

A:

Q: runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

A:

Q: ector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the…

A: Ax=Acosθ=15.0 unitscos310°=9.64 units

Q: The UP Men's Football Team uses vector displacements to record its plays, with the origin taken to…

A: We need to calculate up to what distance and in what direction must the quarterback throw the ball…

Q: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

Q: war airship leaves the port in Liberio and flies 175 km at 48.0" East of North and then changes…

A:

Q: a women walks 250 m in the direction of 30º east of north, then 175 m directly east. find (a) the…

A: Given Woman walks 250 m in the direction 30∘ East of North then 175 m directly east .

Q: You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees…

A: Given, It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West,…

Scalars and Vectors

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