A student bikes to school by traveling first dN = 1.00 miles north, then dw = 0.400 miles west, and finally ds = 0.100 miles south. Part A Take the north direction as the positive y direction and east as positive x. The origin is still where the student starts biking. Let d N be the displacement vector corresponding to the first leg of the student's trip. Express dN in component form. Express your answer as two numbers separated by a comma (e.g., 1.0,2.0). By convention, the x component is written first. NV ΑΣφ (dn)z.(dn)y = |0,0.8

Suppose you walk 13.5 m in a direction exactly 15° south of west. You then walk24.5 m in a direction exactly 43° west of north.a. What is the x-component of the displacement in meters of your motion when you are walking south ofwest? Let east be the positive x directionb. What is the y-component of the displacement of your motion in meters when you are walking south ofwest? Let north be the positive y directionc. What is the x-component of the displacement of your motion in meters when you are walking west ofnorth? Let east be the positive x direction.d. What is the y-component of the displacement of your motion in meters when you are walking west ofnorth? Let north be the positive y direction.e. How far, in meters, are you from your starting point?

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 101 m at an angle 30.0° north of east, and finally moves 184 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W S E Final position What is the resultant displacement from the entrance? magnitude direction m ° south of east

An object moves in an x-y plane generating three displacements (50.0 m, 60.0° west of north; 20.0 m, 30.0° east of north; 10.0 m east). a) Draw vector A in its reference frame and determine its x component and its y component. Express vector A in Cartesian form. b) Draw vector B in its reference frame and determine its x component and its y component. Express vector B in Cartesian form. c) Draw vector C in its reference frame and determine its x component and its y component. Express vector C in Cartesian form. d) Determine the resulting vector Cartesian Reform. In addition, determine its magnitude and its angle. Note: As can be seen in the diagram, the resulting vector is in the first quadrant, so the signs of its components and its angle have to be those corresponding to a vector in the first guadrant. wwwM wmww o w y (norte) 10.0 m 20.0 m <30.0° 50.0 m 60.0° (oeste) x (este)