Find the magnitude and direction of the resulting (overall) displacement of the plane by graphically drawing the displacement vectors and by calculating the resultant using components
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A plane flies in two straight-line segments. On the first segment it flies 250 km at an angle of 30 south of west. Then it flies 125 km at an angle of 20 east of south on the second segment. Find the magnitude and direction of the resulting (overall) displacement of the plane by graphically drawing the displacement vectors and by calculating the resultant using components
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- A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a direction 35° east of south. After a third unmeasured displacement, she finds herself 150 m, 20° south of east from where she started. Use the method of components to determine the magnitude and direction of the third displacement.Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and points at an angle of 30.0 degrees above the positive x-axis. (a) Find the x and y components of the vector sum V2 + V1 and then determine the magnitude and direction of the vector sum V2+V1. (b) Sketch the vector sum V2+V1 on a grid.A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitude of 24 and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. C = A + B (a) magnitude direction (b) C=A-B в magnitude direction (c) C = A + 4B magnitude direction (d) = -A-7B ℃ magnitude direction ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) O (counterclockwise from the +x-axis)
- A vector with magnitude 6, points in a direction counterclockwise from the positive x-axis. Write the vector in component form. Give each value accurate to at least 1 decimal place.A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30° east of north for 25 km. Sketch the vector diagram and determine (a) the magnitude and (b) the angle of the car's total displacement from its starting point.
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