A car travels 90 meters due north in 15 seconds. Then the car turns 32° west of north and travels 40 meters. What is the magnitude and direction of the car's resultant displacement? To answer this problem, what two methods will give us the accurate answer?
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A car travels 90 meters due north in 15 seconds. Then the car turns 32° west of north and travels 40 meters. What is the magnitude and direction of the car's resultant displacement? To answer this problem, what two methods will give us the accurate answer?
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- I 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◦While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m east, 300 m south, 150 m at an angle 30˚ south of west, and 200 m 60˚ north of west. What is the displacement (magnitude and direction) from the cave entrance?While exploring a cave, a spelunker starts at the entrance and moves the following distances: 100 m east, 300 m south, 150 m at an angle of 30 degrees south of west, and 200 m 60 degrees north of west. what is the displacement (magnitude and direction) from the cave entrance?
- A speedy turtle walks 17 meters east in 30 minutes. The turtle decides to head toward the water and turns to the south and walks 5 meters which takes turtle 20 minutes. What is the displacement (magnitude and direction) of the turtle from where it started?A boy walks 4 m South and then walks 7 m at 35 degrees east of south. What is the boy's displacement? Be sure to include magnitude and direction.The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to B = 30° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 20 (s/w) / Velocity 15 10 LO 5 0 0 WEST 100 200 300 Time t (s) 3° East of South 400 500 600
- The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to ß = 35° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 20 (a) Number Velocity v (m/s) 15 10 5 0 2250 (b) Number i 36.406 WEST 100 Units Units 200 m 300 Time t (s) 3° East of South 400 west of south. 500 600An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. It then moves 117 ft at an angle of 41.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude= ? ft direction = ?° counterclockwise from the +x-axisThe Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to -30° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 24 (a) Number i (b) Number i Velocity v (m/s) 18 12 6 0 0 100 WEST Units Units 200 300 Time t (s) 3° East of South 400 west of south. 500 600
- Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring a new planet. Morty starts by driving east, but after 30 mi he comes to a detour that takes him 15 mi south before going east again. He then drives 8 mi east before his motorcycle runs out of gas. Rick flies over in his spaceship to pick him up. What is Rick’s displacement vector? Give your answer (a) in component form, using a coordinate system in which the y-axis points north, and (b) as a magnitude and direction.An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then climbs 147 ft at an angle of 33.00 above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction ° counterclockwise from the +x-axisAn engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 33.0° above the horizontal. It then moves 117 ft at an angle of 44.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude ft direction ° counterclockwise from the +x-axis Need Help? Read It