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- A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
- A pedestrian walks 6.0 km east and then 13.0 km north. Use a graphical method to find the pedestrian’s resultant displacement and geographic direction.In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
- A cyclist rides 5.0 km due east, then 10.0 km 20 west of north. From this point she rides 8.0 km due west. What is the final displacement from where the cyclist started?dsOne morning, Cosdnnie walks from her house to go to a store that is 500 ft, S 40o W from her hdouse. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she isdasd. From her friend’s location, how far ansd in what direction should Connie waldk to finally get to the store? (Ans. 1133.08 ft, 33.83o S of W)show complete solution and diagramYelena, Natasha, and the "Red Guardian" are looking for Melina's house. They walk 6.0 km [N], then 8.4 km [20oS of W]. How far are they from where they started?
- During her recent trip to the grocery store, Claire walked 14m,North to the end of an aisle. She then made a turn and walked 6m, 30o N of E. Finally, she made another turn and walked 8m, S. Determine the magnitude of Claire's resultant displacement and direction.A ship leaves a port and travels on a steady course 66o East of due North at a steady speed of 13.9 km h-1. After sailing for 4.0 hours, how far (in km) due East from the port is the ship?An ant crawls on a tabletop. It moves 2.0 cm East, turns 3.0 cm 40o North of East and finally moves 2.5 cm North. What is the ant’s total displacement?