How Far Did the Football Travel in Total Displacement?

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The discussion focuses on calculating the total displacement of a football during a play involving a quarterback's movements. The quarterback runs backward for 10 yards, then sideways for 15 yards, and finally throws a 50-yard forward pass. The initial calculation using the Pythagorean theorem suggested a resultant displacement of about 52 yards, but further analysis corrected this to approximately 43 yards. The correct approach involved adjusting the right triangle formed by the quarterback's movements to accurately determine the resultant displacement. The final consensus confirms the magnitude of the football's resultant displacement is around 43 yards.
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another vector problem (check if I'm correct)

A quarterback takes the ball from the line of scrimmage, runs backward for 10.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 50 yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement?

Is it about 52? Since I used a^2 + b^2 = c^2

50^2 + 15^2 = c^2
 
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the figure i get in my head is something like
A |...
...|...|C
B |___|D

AB = 50
CD = 10
BD = 15
u are supposed to find AC

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ahh after looking at your diagram it should be

40^2 + 15^2 = c^2

about 43 then
 
yeap!

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