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As shown in the diagram below, a soccer player kicks a ball directly toward the

ID: 1322274 • Letter: A

Question

As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector

, which has a length of 7.0 m and a direction 30 degrees east of south. Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement ry, who could have then kicked it to the goal along a displacement vector rx, as shown. Find the magnitudes and directions of rx and ry.

As shown in the diagram below, a soccer player kicks a ball directly toward the goal along a displacement vector r , which has a length of 7.0 m and a direction 30 degrees east of south. Alternatively, she could have kicked it to a second player standing directly in front of the goal along a displacement ry, who could have then kicked it to the goal along a displacement vector rx, as shown. Find the magnitudes and directions of rx and ry.

Explanation / Answer

rx = r*sin30 = 7*sin 30 = 3.5 m

direction is east

ry = r*cos30 = 7*cos 30 = 6.06 m

direction is south