In a second contest, the three displacements given are 90.7 m, 20.0 west of north; 15.8 m straight north; and 80.1 m, 41.0 south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche?
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- Suppose a person walks so that their displacement is represented by a vector that has a magnitude of 52m (vector A). The direction of that initial displacement is 31 degrees north of east. After that, the person then walks 15 m due west (vector B). Use trig to calculate the east and north components of the first displacement, vector A.Margaret walks into the store using the following path: 0.870 mi west, 0.330 mi north, 0.140 mi east. Assume north be along the positive y axis and west be along the negative x axis. What is the magnitude of her total displacement? In what direction is the displacement vector? Enter the answer as an angle north of west.A girl delivering newspapers covers her route by traveling 3.75 blocks west, 5.00 blocks north, and then 7.25 blocks east. (a) What is her resultant displacement? magnitude ? blocks direction ? ° north of east (b) What is the total distance she travels?? blocks
- One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 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? (a) Number Units (b) Number i Units (c) Number i UnitsA woman walks 171 m in the direction 32° east of north, then 161 m directly east. Find (a) the magnitude and (b) the angle (from due east) of her final displacement from the starting point. (c) Find the distance she walks.A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and east
- It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.20 m the north, d, = 2.10 m northeast, and d, = 1.10 m at 6 = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.) N dz dz W- E 'p magnitude m direction o north of eastIma Stomaksic is walking from lunch to her PE class. She exits the lunchroom and walks 43m west. She then turns and walks 72m north down the hallway leading to the locker room. Determine the magnitude and direction of Ima's resultant displacement, and the angle of the displacement.A woman enters a store and walks north a distance of 150 m and then turns East by 150 degrees before walking another 50 m. What is the woman's displacement from when she first entered the store?