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Q. An airplane flies due south at 155km/h relative to the air. There is a wind blowing at 89 km/h to the east proportionate to the ground. What are the plane's speed and direction relative to the ground?

Q. In a game of American football, a quarterback takes the ball from the line of scrimmage, runs backward for 11.5 yards, and after that runs sideways parallel to the line of scrimmage for 15 yards. At this point, he throws a forward pass 55 yards straight downfield vertical to the line of scrimmage. What is the magnitude of the football's resultant displacement?

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