1.50 km south. (a) Use components to find the magnitude and direction of the resultant displacement of this professor. (b) Check the reasonableness of your answer with a graphical sum.
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- An archaeologist is surveying a cave. She follows a passage 150 m west, then 110 m southeast, and then 185 m 30 deg east of north. After a fourth unmeasured displacement, she finds herself back where she started. What is the magnitude and direction of this unmeasured displacement?Problem 1:A man sailing a boat follows the directions to a dock. The instructions stated that he hasto sail 25.0 m in a direction 60º E of N from his starting location, and then sail additional35.0 m in a direction 50º E of S. How far will he be from his starting point?Problem 2:Suppose a pilot flies 15.0 km in a direction 60º N of E and then flies 30.0 km in a direction15º N of E. Find the total distance R from the starting point and the direction θ of thestraight-line path to the final position.as a test of orienteering skills, your physics class holds a contest in a large open field. Each contestant is told to travel 20.8 m due north from the starting point, then 38.0 m due east, and finally 18.0 m in the direction 33.0 west of south. After specified displacements, a contestant will find a silver dollar hidden under a rock the winner is the person who takes the shortest tme to reach the location of the silver dollar. remembering what you learned in class, you run on a straight line from the starting point to the hidden coin how far and in what direction do you run?
- 9 A small plane flies at 294 km/h in still air. If the wind blows directly out of the west at 27.7 km/h, how long does it take her to reach a point 466.1 km directly north of her starting point? Answer upto 2 dpProblem 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 72° 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 o = ONW Therefore, the vector needed for him to successfully get back home is Rhome = O SE mWhile exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.
- Gabby works as an aerial photographer. On one trip she takes off from the airport and flies 52km on a bearing N46°E. She then turns and flies for 43km until she is due east of the airport. How far is Gabby from the airport when she is due east of it? Is there more than one answer, explain.A hiker begins her trip away from her car by first walking 24.0 km in a direction that makes an angle of 35.0° south ofeast. She stops and sets up her tent for the night. On the second day, she walks 39.0 km north, at which point shediscovers a forest ranger's tower. Determine the magnitude of her total displacement.21. Consider two displacements, one of magnitude 3m and the other of magnitude 4m. Which of the following will most likely be a resultant displacement? a. 5 b. 7 c. 1 d. all of them Explanation and solution
- 1A) Saanich is walking around the campus. Saanich walks 2.4 km north. Saanich then makes a left turn and walks 1.45 km west. Finally, Saanich makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of Saanich from the starting point? a) 3.9 km, 24° north of west b)5.3 km, 59° north of west c) no answer is correct d)3.9 km, 66° north of west e)5.3 km, 70° north of west 1B) Saanich drives a car of mass 1800 kg on the Ford Test Track. If the initial speed of the car is 32m/s and the track can be approximated as a circle of radius 25 m, what is the average velocity Saanich would be travelling at during a single revolution? a) 100 m/s b) zero m/s c) 44 m/s d) 26 m/s e) 32 m/s 1C) Saanich is participating in a physics lab. He fires a projectile at an angle of 47.0° off of a desk. If Saanich shoots the projectile at a speed of 25 m/s, how long does it take the projectile to reach its highest point? a) 1.7 s b) 2.9 s c) 1.9 s d) 9.8 s e)1.5 sAn 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.An athlete runs 2.76 km east, then turns 30 degrees south and runs another 0.85 km. What is the magnitude of his displacement?