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 (81, 19) on the soccer field shown in the figure and with initial velocity vo = 8i – 4j + 31k ft/s. Assume an acceleration of 32 ft/s? due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft. 105 ft [12 | 12 105 ft 165 ft 165 ft 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) = r;(t)i + r;(t)j + rk (t)k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17RE
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ri =
rj =
rk =
Does the ball go in the goal before hitting the ground?
The ball hits the ground before it gets to the goal.
The ball doesn't hit the ground before it gets to the goal.
Transcribed Image Text:ri = rj = rk = Does the ball go in the goal before hitting the ground? The ball hits the ground before it gets to the goal. The ball doesn't hit the ground before it gets to the goal.
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 (81, 19) on the soccer field shown in the figure and with initial velocity Vo = 8i – 4j + 31k ft/s.
Assume an acceleration of 32 ft/s? due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft.
105 ft
12
12
105 ft
165 ft
165 ft
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) = r;(1)i + r,(f)j+ r¢(1)k
Transcribed Image Text: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 (81, 19) on the soccer field shown in the figure and with initial velocity Vo = 8i – 4j + 31k ft/s. Assume an acceleration of 32 ft/s? due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft. 105 ft 12 12 105 ft 165 ft 165 ft 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) = r;(1)i + r,(f)j+ r¢(1)k
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