What is the magnitude of the football’s resultant displacement?
A quarterback takes the ball from the line of scrimmage, runs backward for 15 yards, then run sideways parallel to the line of scrimmage for 20 yards. At this point, he throws a 26 yards forward pass straight down field perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement?
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The football is 20 yds to the right of the starting point and 26-15 = 11 yds forward from the line of scrimmage. The magnitude of the displacement is the same as the hypotenuse of a right-angled triangle with side lengths of 20 and 11 (answer is 22.8 yds). jlumley2006