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 = 47i + 39j + 29k 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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section 13.5 question 8

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 = 47i + 39j + 29k 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.
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 = 47i + 39j + 29k 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.
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