It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.00 m the north, d, = 2.00 m northeast, and d, = 0.90 m at 8 = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction degrees north of east.) d3 di magnitude 8.139 Let +x be east, and +y be north. Write each of the displacements in unit-vector notation. Note that "northeast" means 45° north east. Use the figure to help you determine the signs of the components, and sum the displacement vectors to find the total displacement. Then use the Pythagorean theorem to find the magnitude. m 3.139 Use the components of the total displacement vector and the inverse tangent function to calculate the angle. ° north of east direction

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.00 m the north, d, = 2.00 m northeast, and d, = 0.90 m at e = 30.0° west of south, as shown in the figure. If the golfer had made the hole
in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.)
d3
d,
W
di
magnitude
8.139
Let +x be east, and +y be north. Write each of the displacements in unit-vector notation. Note that "northeast" means 45° north of east. Use the figure to help you determine the signs of the components, and sum the displacement vectors to find the total
displacement. Then use the Pythagorean theorem to find the magnitude. m
3.139
Use the components of the total displacement vector and the inverse tangent function to calculate the angle. ° north of east
direction
Transcribed Image Text:It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.00 m the north, d, = 2.00 m northeast, and d, = 0.90 m at e = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.) d3 d, W di magnitude 8.139 Let +x be east, and +y be north. Write each of the displacements in unit-vector notation. Note that "northeast" means 45° north of east. Use the figure to help you determine the signs of the components, and sum the displacement vectors to find the total displacement. Then use the Pythagorean theorem to find the magnitude. m 3.139 Use the components of the total displacement vector and the inverse tangent function to calculate the angle. ° north of east direction
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