An automobile travels due east on a level road for 32 km. It then turns due north at an intersection and travels 47 km before stopping. Find the vector that indicates the resulting location of the car.
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- Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have positive y-components, and make angles of a = 44.4° and ß = 26.7° Avith the positive and negative x-axis, respectively. If the vector sum A +B + C = 0, what are the magnitudes of A and A B? B a |A| = m |B| = m Figure is not to scale.An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. It then moves 127 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 direction 167.6 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 367 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative. counterclockwise from the +x- axis Need Help? Read ItVectors A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure alongthe line of the resultant?
- Sydney, Tayler and I go out for a short walk together. We first walked 10 meters 34° South of East, then 20 meters due South, and then 15 meters 42° South of West. We want to find the overall resultant vector of our total travels.Vector A has a magnitude of 39.5 units and it points in a direction 310° counterclockwise from the positive x-axis. What are the x- and y-components of A?Vector R has a magnitude of 10 m. Its z component is 8 m. What are the possible values for its y component? Express your answer in meters. If there is more than one answer, separate them by a comma.
- Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – BIma Genius is walking from physics to math class. She exits the physics lab and walks 72 meters NW. She stops at a drinking fountain, then continues walking NW for another 67 meters. What is the magnitude and direction of Ima's displacement? (It may help to draw the vectors.) Ima's displacement is: Ax unit %3D Direction:Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.
- Dr. B takes her dog ada on a walk. they start out heading south for 0.75 miles. then they turn left 30 degrees and they continue to walk for another 11 mile. Finally they turn right 9o degrees and they walk 1.9 miles. The whole walk takes 45 minutes. What is the average speed of Dr.B and Ada on their walk? give your answer in m/s. What is the direction of the total displacement vector?Vector A has a magnitude A=5.3 and direction theta =62.0 degrees measured counterclockwise from the +x-axis. What is the x-component? Specify the answer to 3 decimals.The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.