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

Question

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 7.9 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.

rx magnitude ____m in _______direction (north, south, east, west,)

ry magnitude ____m in _______direction (north, south, east, west,)

Explanation / Answer

here,

r = 7.9 m

theta = 30 degree

the diplacement vector, rx = r * sin(theta)

rx = 7.9 * sin(30)

rx = 3.95 m to east

the displacement vector , ry = r * cos(theta)

ry = 7.9 * cos(30)

ry = 6.84 m to south

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