Migrating geese tend to travel at approximately constant speed, flying in segments that are straight lines. A goose flies 32 km south, then turns to fly 20 km west. Afterward, how far is the goose from its original position?
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- Renee has walked in a straight line, 25 degrees west of north, for 1200 meters. How far south and east should she walk to return to her original location?A truck drives 20 blocks north, then 15 blocks east, then 8 blocks south. What is its total displacement (magnitude and direction)?The speed of propagation of the action potential (an electric signal) in a nerve cell depends (inversely) on the diameter of the axon(nerve fiber). If the nerve cell connecting the spinal cord to your feet is 0.9 m long and the nerve impulse is 16 m/s. How long (in s) does it take for the nerve signal to travel this distance ?
- In the sport of orienteering, participants must plan carefully to get from one checkpoint to another in the shortest possible time. In one case, starting at a particular checkpoint, Sam decides to take a straight path that goes west for 500 meters, and then go northeast for 500 meters on another straight path to reach the next checkpoint. Northeast, by the way, means 45 degrees to both north and east. Between the same two checkpoints, Mary decides to take the shortest distance between the two checkpoints, traveling off the paths through the woods instead. (a) What is the distance that Mary travels between the checkpoints? (Note that Sam travels a total distance of 1000 m, although his speed is probably significantly higher than Mary's.) 387.30 V m (b) In what direction does Mary go? Specify her direction as a positive angle, measured counterclockwise from east. 22.5A car is driven 230 km west and then 85 km southwest. What is the magnitude of the car's displacement?one day you go hiking at a nearby nature preserve. at first, you follow the straight, clearly marked trails. from your starting point, you travel 2.00 miles down the 1st trail. then you turn to your left by 30.0 degrees to follow a 2nd trail for 1.40 miles. next, you turn to your right by 160 degrees and follow a third trail for 1.90 miles. at this point you are getting very tired and would like to go back. you would like to take a shortcut directly through the woods. how far to your right should you turn, and how far do you have to walk, to go directly back to the darting point. what degree turn to the right must "I" take, and how many miles must I walk back? I know the distance is 2.104 miles, but I cannot figure out the degree angle.
- One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number Units (b) Number i Units (c) Number i Unitsone afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?First, a woman walks 25 m in a direction 49° north of east. Then she walks 23 m heading 15° north of east. Finally, she turns and walks 32 m in a direction 68° south of east. What is the total distance she covers? What is her total displacement?
- Ann walks 135 m north from point A to point B. She then turns around from point B and travels south 15 m. What is her final displacement from point A? (a) 150 m north (b) 150 m south (c) 120 north (d) 120 south (e) 120 mI need help with this practice problem. I was given the answer key but I need help solving it step by step. A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West.Finally the driver turns again and drives 0.5 km Northwest.(a) What is the total distance driven?(b) What are the magnitude and direction of the car’s overall displacement? Answer Key: a.) 3.5 km b.) .11 km, 9.55◦A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t₁ = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t₂ = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times. 1.4 m/s, 31° west of north 0.80 m/s, 42° west of north 1.6 m/s, 42° north of east 0.52 m/s, 88° north of east 0.67 m/s, 21° west of north