A cross-country runner moved 7.40 km in the direction 30.0º east of south, then 2.80 km in the direction 40.0°north of east and finally 5.20 km in the direction 22.0° west of north. What is the location of the runner from the starting point?
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- A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?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 skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
- 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?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.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 small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its 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?A dog in an open field runs 12.0m east and then 28.0m in a direction 30.0o east of north. How far is the dog from the starting point?
- . A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp. Onthe seco magnitude nd day she walks 40.0 km in a direction 60.0° north of east, at whichpoint she discovers a forest ranger’s tower. (a) Determine the components of the hiker’sdisplacements in the first and second days. (b) Determine the components of thehiker’s total displacement for the trip. (c) Find the magnitude and direction of thedisplacement from base campA person walks 25.0° north of east for 3.10 km. How far duenorth and how far due east would she have to walk to arrive atthe same location?1)An airplane starting from airport A flies 300 km east, then 350 km at 30.0° west of north, and then 150km north to arrive finally at airport B. (a) The next day, another plane flies directly from A to B in astraight line. In what direction should the pilot travel in this direct flight? (b) How far will the pilot travelin this direct flight?