What is the resultant displacement of a car that travels 2 km north and then turns and travels 4 km east?  Be sure to include magnitude and direction.

Current Attempt in Progress One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.30 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) VWhat is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i Units (c) Number i Units

A girl delivering newspapers covers her route by traveling 10.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? blocks(b) What is the total distance she travels? blocks

You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it up, you will be in a hurry and should walk straight to it. Determine the angle you should walk, relative to due west and the distance.

Problem An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: Given x-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE  m  m B = 180 m 72o NW  m  m C = 150 m S  m  m Resultant  m  m   Thus, the magnitude of the resultant vector is R =  m With a direction of θ =  o NW Therefore, the vector needed for him to successfully get back home is Rhome =  m  o SE

A teacher drives his car at 3 mi N 40o E, then turns 3.8 mi to the West. What is the magnitude and direction of the teacher’s displacement from the starting position?

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?

A rural mail carrier leaves the post office and drives 25.0km in a northerly direction to the next town. She then drives in a direction 60 degrees south of east for 57 km to another town. What is her displacement from the post office?

A car is driven 230 km west and then 85 km southwest. What is the magnitude of the car's displacement?

A student walks 1 km due east and 3 km due south. Then she runs 5 km due west. The magnitude of the student's resultant displacement is?