A man walks 14.4176 m directed 340.7305 degrees from the positive x-axis, then he walks 22.1693 m directed 27.408 degrees from the positive x-axis, then finally he walks 49.9499 m directed 311.6059 degrees from the positive x-axis. How far he is now from his starting point? Express your answers accurate to four decimal places. Enter only the numerical value

Q: A man walks 15.9183 m directed 167.673 degrees from the positive x-axis, then he walks 29.546 m…

A:

Q: A vector has an x component of -26.0 units and a y component of 40.2 units. Find the magnitude and…

A: Solution:

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

A:

Q: A man leaves his front door, walks 1000 ft east, 2000 ft north, and then takes a penny from his…

A:

Q: A slelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

A:

Q: A man walks 22.4789 m directed 61.0652 degrees from the positive x-axis, then he walks 17.113 m…

A: d1 = 22.4789 m @61.0652o counterclockwise from +x axis d2 = 17.113 m @334.191o counterclockwise from…

Q: A man walks 36.1321 m directed 27.8805 degrees from the positive x-axis, then he walks 23.7250 m…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Q: A man walks 45.8733 m directed 97.9442 degrees from the positive x-axis, then he walks 40.7946 m…

A: d1 = 45.8733 m @97.9442 degree from +x axisd2 = 40.7946 m @96.1515 degree from +x axisd3 = 23.4093 m…

Q: An airplane flies 200 km due west from city A to city B and then 325 km in the direction of 27.0°…

A: The whole system can be represented as,

Q: A man walks 40.2974 m directed 208.3565 degrees from the positive x-axis, then he walks 26.4057 m…

A:

Q: 1.33 • Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is…

A:

Q: An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 33.0°…

A:

Q: A⃗  = 22x^ + (-14)y^, and B⃗  = 2.5x^ + 13y^. Express A⃗ −B⃗  in unit vector notation. Express your…

A: Given:

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Given information:The distance she walked across the bank of river (d) = 138 mThe angle she sights,…

Q: A man walks 15.1222 m directed 130.2902 degrees from the positive x-axis, then he walks 25.0379 m…

A: The first pathway R1=15.1222 m at an angle 130.2902o with respect to +x axis, then R2=25.0379 m at…

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: Determine the X-component of vector 2.

Q: A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

A:

Q: A man walks 15.053 m directed 108.283 degrees from the positive x-axis, then he walks 20.7523 m…

A: From the above information  15.053m directed18.283° with +y axis in anti clockwise  20.7523m…

Q: A man walks 45.8733 m directed 97.9442 degrees from the positive x-axis, then he walks 40.7946 m…

A:

Q: A surveyor measures the distance across a river that flows straight north by the following method.…

A: Consider the figure below.

Q: A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then  19 m due…

A:

Q: A person walks 24.0° north of east for 2.40 km. How far due north and how far due east would she…

A: Consider the diagram below, which represents the situation given in the question.

Q: A man walks 21.6794 m directed 244.1222 degrees from the positive x-axis, then he walks 28.1813 m…

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Q: A man walks 12 0715 m directed 162 6268 degrees from the positive x-axis, then he walks 20 1120 m…

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 surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given that                  x = 110 m           and θ = 31.2°

Q: An object undergoes the following displacements: 3.2 m, south; 5.0 m, 30° north of east; 4.5 m,…

A:

Q: 'mres In the following problem all angles are measured counter-clockwise from the positive x-axis.…

A: Given Data : The magnitude of vector A is given as A = 11.5. The direction of vector A is given as…

Q: A man walks 47.202 m directed 145.8047 degrees from the positive x-axis, then he walks 13.2801 m…

A: Let A = 47.202 m directed 145.8047 degrees from the positive x-axis     B =13.2801 m directed…

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

A:

Q: Vector  is 10.00 units in length and points along the positive x axis. Vector  is 4.00 units in…

A:

Q: 6. Consider two vectors pointing at different directions. The first vector has a length of 5.2 cm…

A:

Q: A spelunker is surveying a cave. She follows a passage 8 meters straight west, then 68 meters in a…

A: A = 8 m west  B = 68 m at 45° east of north C = 204 m at 30° east of south Write the vectors in the…

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m…

A:

Q: a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal…

A: We know that here we have given that a spelunker starts at the entrance and moves a distances in 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 man walks 12.4549 m directed 330.0841 degrees from the positive x-axis, then he walks 49.2361 m…

A: Draw the vectors and take components of the vectors and add them.

Q: A man walks 18.3118 m directed 45.1332 degrees from the positive x-axis, then he walks 26.6583 m…

A:

Q: A man walks 15.7667 m directed 223.2164 degrees from the positive x-axis, then he walks 27.9801 m…

A: s1 = 15.7667 m , θ1 = 223.2164° s2 = 27.9801 m, θ2 = 17.5732° s3 = 14.6125 m, θ3 = 263.5131°

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

A: In the picture the plane travels from A to B, then B to C and finally C to D AB = 20.0 km BC = 30.0…

Q: A person leaves home and walks 6 miles west, then 5 miles southwest. How far from home is she? Round…

A: Fig: Movement of the person in form of a vector diagram   Given…

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

A:

Q: A man walks 37.5176 m directed 265.0102 degrees from the positive x-axis, then he walks 44.6018 m…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: We need to calculate the width of the river given the information collected by the surveyor.

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Scalars and Vectors

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