A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 6 ft and has initial velocity Vo = 51i + 37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 6 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t) = Is the player in bounds or out of bounds when he receives the ball? The player is in bounds. The player is out of bounds.

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A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a
height of 6 ft and has initial velocity Vo = 51i + 37j + 27k ft/s.
Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector
points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of
the ball t seconds after it is thrown. The ball is caught by a player 6 ft above the ground. Assume the player is standing vertically
with both toes on the ground at the time of reception.
(Use symbolic notation and fractions where needed.)
r(t) =
Is the player in bounds or out of bounds when he receives the ball?
The player is in bounds.
The player is out of bounds.
Transcribed Image Text:A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 6 ft and has initial velocity Vo = 51i + 37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 6 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t) = Is the player in bounds or out of bounds when he receives the ball? The player is in bounds. The player is out of bounds.
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