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 5 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 5 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.)
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 5 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 5 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.)
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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 5 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 5 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):
=
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