A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate the magnitude and direction of his resultant displacement. () The sum of the X components (EX) is = km (1I) The sum of the Y components (ZY) is = km (iii) The magnitude of the resultant displacement is = km (Iv) The direction (angle) of the resultant displacement (in degrees) is = North of East
Q: A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate…
A: Suppose given that Vector is R and it makes angle with +x-axis, then it's components are given by:…
Q: What are the (a) x and (b) y components of the vector that must be added to the following three…
A:
Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…
A:
Q: If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the…
A: given: d1 = 3 m direction : 60 degrees EN d2 = 4m direction : 45 degrees SW d3 = 6m direction :…
Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is
A: Given The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…
Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…
A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…
Q: Use a scale drawing and find the x and y components of the following vectors. In each case the…
A: Given, Magnitude of vectors, d1=9 m,d2=15 km,d3=4.6 cm Angle of vectors with x-axis,…
Q: The vector in the drawing has a magnitude of 712 units. Determine the (a)x and (b)y components of…
A:
Q: Hardy, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current…
A:
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: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…
A:
Q: ethod of components. using 1.29 For the vectors A and B in Fig. E1.22, use the method of components…
A: Given:- 1.29:- We know that figure E 1.22 we get as Find:- for the vector A and B a) The…
Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…
A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^
Q: A = 15m due West from one office to another in a company, a man travels as follows: B = 25 m. 53°…
A: A = 15 m, due west B = 25m, 53 degrees east of north C = 20 m due east
Q: An unidentified naval vessel is tracked by the Navistar Global Positioning System. With respect to a…
A: SOlution: Given that x1 = 2 km west y1 = 1.6 km south t1 = 0.3 h x2 = 6.4 km west y2 = 6.5 km north…
Q: A dog searching for a bone walks 4.5m west, then 15.5m at an angle 40°north of east, and finally 3m…
A: Note :- : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…
Q: Attached is a screenshot of my question regarding vectors. I do know the formula for finding the…
A: Write the vector notation for the sum of two vectors A and B,
Q: Find the resultant vector using: Vector A= 20 km, 30° N of E Vector B= 15 km. 20° W of S Vector C=…
A:
Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…
A:
Q: The displacement vectors A and B shown in the figure below both have magnitudes of 2.35 m. The…
A: Given information: the magnitude of the vector A and B = 2.35 m The angle made by vector A with x…
Q: Suppose a pilot flies 60km towards north, 45 km in a direction 40° north of east and 20 km towards…
A: Given: The first displacement is 60 km. The direction is towards the north. The second displacement…
Q: Vector A has components A, = 1.40 cm, Part C Ay = 2.35 cm; vector B has components B = 4.20 cm, By =…
A:
Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y
A: Given Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B
Q: A boy delivering newspapers covers his route by traveling 3km due north, 5km due east, and then 4km…
A: In the image below the given situation is sketched and required values are evaluated
Q: A postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of…
A:
Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…
A:
Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…
A: Given:- Three displacement vectors have a magnitude as A=2.70 km B = 5.30 km and C = 4.40 km…
Q: Since the magnitude of the vector A is 6 units and its direction is north, the magnitude of the…
A:
Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…
A: Given data Vector A = 3 points in +ve x direction Vector B, 4 units in the direction of 37 o from…
Q: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…
A:
Q: Let A→ = (3.0 m, 20 degrees south of east), B→ = (2.0 m, north), C→= (5.0 mm, 70 degrees south of…
A: Given, A→=3.0m, 20° south of eastB→=2.0m, northC→=5.0m, 70° south of westTo find x &y components…
Q: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…
A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…
Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…
A:
Q: Displacement vector A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…
A:
Q: 1.37 .. (a) Write each vector in Fig. E1.37 in terms of the unit vectors i and j. (b) Use unit…
A:
Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 6 miles South 7 miles…
A:
Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m…
A:
Q: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…
A:
Q: A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double…
A:
Q: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…
A: Given Angle made by vector from horizontal @ = 42° Y component of vector Ay = 5 units To find…
Q: Vector A is 5.80 cm long and is 60° above the x-axis in the first quadrant. Vector B is 5.80 cm long…
A: A⇀+B⇀=5.80 cmcos60°i^+5.80 cmsin60°j^+5.80 cmcos-60°i^+5.80 cmsin-60°j^=2.90 cmi^+5.02 cmj^+2.90…
Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…
A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…
Q: A postal employee drives a delivery truck along the following route. He drives 7km due east, 2km due…
A:
Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…
A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…
Q: If a vector →A→ has the following components, use trigonometry to find its magnitude and the…
A: Introduction: Vector is the quantity which depends on direction as well as magnitude. Whereas,…
Q: The x- and y- components of a displacement vector are -7.00 m and 8.00cm, respectively. What angle…
A:
Q: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…
A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…
Q: Hardy, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current…
A:
Step by step
Solved in 2 steps with 3 images
- A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of days at the station in Amarillo and then heads back west 107 miles where it stops in Tucumcari. Suppose the positive x direction points to the east and Albuquerque is at the origin of this axis. a. What is the total distance traveled by the train from Albuquerque to Tucumcari? b. What is the displacement of the train for the entire journey? Give both answers in appropriate SI units.Two aircraft approaching an aircraft carrier are detected by radar. The first aircraft is at a horizontal distance of 34.3 km in the direction 42.0 north of east and has an altitude of 2.40 km. The second aircraft, at half this altitude, is at a horizontal distance of 42.6 km in the direction 37.0 north of east. What is the distance separating the two aircraft? Hint: Use a coordinate system with the x axis pointing east, the y axis pointing north, and the z axis in the vertical direction.Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
- Figure P3.40 shows a map of Grand Canyon National Park in Arizona. You need a ruler and protractor for this problem, a. Paul hikes from Cape Royale to Point Sublime. Find the magnitude and direction of his displacement, ignoring any difference in altitude between the two points, b. Lil hikes from Point Sublime to Cape Royale. Find the magnitude and direction of her displacement. Compare your answer with that of part (a).A room has dimensions 3.00 m (height) 3.70 m 4.30 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than this magnitude? (c) Greater? (d) Equal? (e) Choose a suitable coordinate system and express the components of the displacement vector in that system in unit-vector notation. (f) If the fly walks, what is the length of the shortest path? (Hint: This can be answered without calculus.The room is like a box. Unfold its walls to flatten them into a plane.)one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?
- One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.95 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s displacement? (c) What is the direction (relative to due east) of the couple’s displacement?Suppose you first walk 11 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west. a) What is the component of your displacement in the x-direction, in meters? b)What is the component of your displacement in the y-direction, in meters? c) How far are you from your starting point in meters? d)What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees? Please show all work so I can understandA hiker's motion can be described by the following three displacement vectors. 22.0 km, 45 degrees + 16.0 km, 135 degrees + 12.0 km, 270 degrees Add the three displacement vectors using the head-to-tail method of vector addition. Then answer the following two questions. (a) What is the distance walked by the hiker? (b) What is the resulting displacement of the hiker?
- Anwser ALL You are to make four straight-line moves over a flat desert floor, starting at the origin of an xy coordinate system and ending at the xy coordinates (−134 m, 26 m). The x component and y component of your moves are the following, respectively, in meters: (20 and 60), then (bx and −70.0), then (−20.0 and cy), then (−61.0 and −68.0). (a) What is component bx? (b) What is component cy? (c) What is the the magnitude of the overall displacement? (d) What is the angle of the overall displacement? ? counterclockwise from the +x-axis 2. A displacement vector r in the xy plane is 34 m long and directed at angle ? = 44° as shown below. Determine the x and y components of the vector. x component = y component=At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?a) Suppose the instructions for a scavenger hunt tell you to walk 6.2 km west, 8.3 km south, 7.6 km east, then 3.4 km north. How far will this scavenger hunt take you from the starting point? b) In what direction measured south from east will you end up from the starting point?