A bear searching for food wanders 35 meters East then 20 meters North. Frustrated, he wanders another 12 meters West then 6 meters South. What are the bear's displacement and direction? And why?

A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 550 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60∘ east of north. After walking 400 paces you see an opening through the woods. a) Which direction should you go to reach the treasure?   b) How far should you go to reach the treasure?

BHLIVEWORKSHEET 2. Calculating distance and displacement. Calculate the total distance moved and displacement of the man as he walks around the perimeter of a rectangular city block. The arrows show his path of travel. He starts walking at Corner #1. He passes by Corner #2, #3, and #4, and retums to his starting place at Corner #1. Corner # 2 Corner #1 (Start) 80 m 60 m 60 m 80 m Comer # 4 Comer #3 Displacement Ах (m) Distance (d) m Comer #1 to Corner #2 (start) Corner #1 to Corner #3 Comer #1 to Corner #4 Comer #1 to Corner #1 (start) (start)

A stunt car traveling at 25 m/s flies horizontally off a cliff and lands 65.8 m from the base of the cliff. a) Sketch the scenario. b) Determine how tall is the cliff?

Can someone please help me understand this question and how to get the answer? Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are added together, the magnitude of the sum is: 1.) equal to 8.6m 2.) could be as small as 2.0m or as large as 12.0m 3.)is equal to 2m 4. or is equal to 12m. Thank you. I am really confused.

4. An object is projected with a speed of 28.0 m/s at an angle of 60 degrees to the horizontal. (a) Find 1. The horizontal displacement. 2 The vertical displacement. 3. The magnitude and direction of the velocity after 2.0 s. (b) Determine 1. The time taken to reach the greatest height. 2. The greatest height reached.

Land west of the San Andreas fault in southern California is moving at an average velocity of about 6 cm/y northwest relative to land east of the fault. Los Angeles is west of the fault and may thus someday be at the same latitude as San Francisco, which is east of the fault. How far in the future will this occur if the displacement to be made is 590 km northwest, assuming the motion remains constant?

A rescue plane flies at 198km/hr and at a constant elevation of 500m toward a point directly over an accident victim struggling in the sea. The pilot must release a rescue capsule so that it hits the water very close to the victim.a). what should be the angle of the pilot’s line of sight when the capsule is released? EVb) what is the velocity of the rescue in the vertical plane when the capsule is released? APc). as the capsule reaches the water, what is its velocity ?̅in i. the unit vector notation? ANii. magnitude- angle notation

*18. An Apollo astronaut lands on the moon and exits the Lunar Excursion Module (LEM) Starting at the base of the LEM, he drives the lunar rover 17 km at an angle of 28° south of lunar east. At this point, the rover breaks down, so he steps out of the rover and walks 12 km directly south and plants a flag pole. What is the displacement of the flag from the LEM?