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You fly 32.0 km in a straight line in still air in the direction
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- Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?arrow_forwardFind the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40arrow_forwardFigure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28arrow_forward
- The magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forwardAn engineer designs a roller coaster so that a car travels horizontally for 202 ft, then climbs 137 ft at an angle of 34.0° above the horizontal. It then moves 137 ft at an angle of 40.0° 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 Need Help? Read It counterclockwise from the +x-axisarrow_forwardAn 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 Itarrow_forward
- An 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-axisarrow_forwardAn engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° 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.) Sig figs Considered.arrow_forwardAn engineer designs a roller coaster so that a car travels horizontally for 182 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. It then moves 117 ft at an angle of 48.0° 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 = 356.5 degrees counterclockwise from the + x-axisarrow_forward
- An 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 Itarrow_forwardA roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the horizontal. It next travels 115 ft at an angle of 44.0° downward (below the horizontal). What is its displacement from its starting point? (Assume the initial horizontal motion of the car to be along the +x axis.) magnitude ft direction counterclockwise from the +x-axisarrow_forwardStarting at the origin, a person walks 350 meters in a direction 30.0° South of20 West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?arrow_forward
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