Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level withthe (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity Vo = 8i - 4j + 23k ft/s.Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft.105 ft3-105 ftr₁ =rj =165 ftrk =0Determine the position function that gives the position of the ball t seconds after it is hit.(Use symbolic notation and fractions where needed.)r(t) = ri(t)i + rj(t)j + rk(t)k165 ft1212

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Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity vo = 8i - 4j+23k ft/s.

Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity vo = 8i - 4j+23k ft/s.

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Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with
the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity Vo = 8i - 4j + 23k ft/s.
Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft.
105 ft
3-
105 ft
r₁ =
rj =
165 ft
rk =
0
Determine the position function that gives the position of the ball t seconds after it is hit.
(Use symbolic notation and fractions where needed.)
r(t) = ri(t)i + rj(t)j + rk(t)k
165 ft
12
12

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