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.

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 It

Vectors 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?