recall that g = 9.8 m/s2 = 32 ft/s2 is the acceleration due to gravity on the earth’s surface In the Superbowl, a quarterback throws a football while standing atthe very center of the field on the 50 yard line. The ball leaves his handat a height of 5 ft and has initial velocity v0 = 40i + 35j + 32k ft/s.Assume an acceleration of 32 ft/s2 due to gravity and that the i vectorpoints down the field toward the endzone and the j vector points to thesideline. The field is 150 ft in width and 300 ft in length.(a) Determine the position function that gives the position of the ballt seconds after it is thrown.(b) The ball is caught by a player 5 ft above the ground. Is the playerin bounds or out of bounds when he receives the ball? Assume theplayer is standing vertically with both toes on the ground at the time ofreception.
recall that g = 9.8 m/s2 = 32 ft/s2 is the acceleration due to gravity on the earth’s surface
In the Superbowl, 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 v0 = 40i + 35j + 32k 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.
(a) Determine the position function that gives the position of the ball
t seconds after it is thrown.
(b) The ball is caught by a player 5 ft above the ground. Is the player
in bounds or out of bounds when he receives the ball? Assume the
player is standing vertically with both toes on the ground at the time of
reception.
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