Starting at a tree in a flat pasture you walk 20.0 m due south and then 40.0 m in a direction of 53.1° north of east. What is your final distance from the tree? (a) 20.0 m b (b) 268 m (c) 43.2 m (d) 57.3 m (e) 60.0 m none of the above answers

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A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a direction 35° east of south. After a third unmeasured displacement, she finds herself 150 m, 20° south of east from where she started. Use the method of components to determine the magnitude and direction of the third displacement.

A man walks 47.202 m directed 145.8047 degrees from the positive x-axis, then he walks 13.2801 m directed 73.6213 degrees from the positive x-axis, then finally he walks 43.3453 m directed 338.1284 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

A plane takes off from an airport and flies to town A, located d₁ = 360 km from the airport in the direction 20.0° north of east. The plane then flies to town B, located d₂ = 200 km at 30.0° west of north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.) distance Enter a number. to make a scale drawing of the plane's motion. One vector will go from the airport to town A, a

Problem 2: A vector has x and y components 7.8 and 9.9 respectively. Part (a) What is the magnitude of this vector? Numeric : Anumeric value is expected and not an expression. r = Part (b) What is the direction of this vector in degrees? Numeric : A numeric value is expected and not an expression. 0 =

7. A man walks 45.1332 m directed 178.5005 degrees from the positive x-axis, then he walks 21.1803 m directed 348.5020 degrees from the positive x-axis, then finally he walks 21.4671 m directed 67.5570 degrees from the positive x-axis. What is the reference angle in degrees of the man with respect to his starting point? Express your answers accurate to four decimal places. Enter only the numerical value

Vector O is the resultant of vector M = -9.1i + 7.8j + -7.2k and an unknown vector N. Vector O is a vector in the positive z-direction only and has twice the magnitude of vector M. What is the magnitude of vector N? Express your answers in two decimal places

Vector A has a magnitude of 8.70 units and makes an angle of 41.0° with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods find the following. (a) The vector sum A + B. Magnitude of A + B: Direction of A + B: (b) The vector difference A - B. Magnitude of A - B: Direction of A - B: units ° counterclockwise from +x-axis units ° counterclockwise from +x-axis

Vector has a magnitude of 3.04 units and points due east. Vector 3 points due north. (a) What is the magnitude of 3. if the vector A+ 3 points 34.1° north of east? (b) Find the magnitude of +3. (a) Number (b) Number Units Units