While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle 30 north of east, and 150 m south. Find her resultant displacement from the cave entrance.

You walk 48.9 m to the north. You then turn 43.2 degrees to your right, so that you are facing 90-43.2 degrees north of east, and walk another 17.2 m. How far are you from where you originally started?

It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0 m to the east. On the second hit, it moves 2.9 m at an angle of 20 ° north of east. On the third hit, it moves 0.50 m to the north. If the golfer had struck the ball directly into the hole in one stroke, what would have been the magnitude (in m) and the direction of the ball's displacement? Indicate direction as a positive angle measured counterclockwise from east.

Vector A⃗  has a magnitude of 9.30 m and is pointing in a direction of 25.0 degrees counterclockwise from the positive x axis. Vector B⃗  has a magnitude of 9.70 m and is pointing in a direction of 140. degrees counterclockwise from the positive x axis. What is A⃗ +B⃗ ? Magnitude: Direction (specify as an angle measured counterclockwise from the positive x axis):

A jogger travels a route that has two parts. The first is a displacement A of 2.30 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number (b) Number (c) Number (d) Number Mi i Mi Units Units Units Units <

A person travels 5.51 km east, then 9.54 km in a direction 21.21 degrees west of north, then 8.72 km west. Find the magnitude of total displacement (in km) and the direction of the displacement (degrees west of north).

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 113 m at an angle 30.0° north of east, and finally moves 179 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 m N E o south of east 8 What is the resultant displacement from the entrance? magnitude direction Final position Q

A traveler first drives 18.8 km east, then 31.8 km southeast, and finally 10.2 km south. Find the traveler's total displacement. Find magnitude and direction (deg) that is south of east

You are on a treasure hunt and your map says "Walk due west for 75.8 paces, then walk 60.0° north of west for 71.5 paces, and finally walk due north for 21.2 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west? (a) Number i (b) Number C Units Units B W # + A E Start

A map in a pirate’s log gives directions to the location of a buried treasure. The starting location is an old oak tree. According to the map, the treasure’s location is found by proceeding 7.45 paces North from the oak tree and then 6.62 paces Northeast. At this location, an iron pin is sunk into the ground. From the iron pin, walk 2.59 paces South and dig. How far (in paces) from the oak tree is the spot at which digging occurs?